Journal of Approximation Theory最新文献

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Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917] 对 "相对切比雪夫中心的强唯一性和交替定理 "的更正 [J. Approx.
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-06-26 DOI: 10.1016/j.jat.2024.106067
F.E. Levis , C.V. Ridolfi , L. Zabala
{"title":"Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]","authors":"F.E. Levis ,&nbsp;C.V. Ridolfi ,&nbsp;L. Zabala","doi":"10.1016/j.jat.2024.106067","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106067","url":null,"abstract":"<div><p>We correct an error in the statement of Levis et al. (2023, Theorem 4.5).</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"302 ","pages":"Article 106067"},"PeriodicalIF":0.9,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021904524000534/pdfft?md5=351282467b6da49e539feca5eabfeab4&pid=1-s2.0-S0021904524000534-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141594108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Randomized approximation of summable sequences — adaptive and non-adaptive 可求和序列的随机逼近--适应性和非适应性
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-06-12 DOI: 10.1016/j.jat.2024.106056
Robert J. Kunsch , Erich Novak , Marcin Wnuk
{"title":"Randomized approximation of summable sequences — adaptive and non-adaptive","authors":"Robert J. Kunsch ,&nbsp;Erich Novak ,&nbsp;Marcin Wnuk","doi":"10.1016/j.jat.2024.106056","DOIUrl":"10.1016/j.jat.2024.106056","url":null,"abstract":"<div><p>We prove lower bounds for the randomized approximation of the embedding <span><math><mrow><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow><mrow><mi>m</mi></mrow></msubsup><mo>↪</mo><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mi>∞</mi></mrow><mrow><mi>m</mi></mrow></msubsup></mrow></math></span> based on algorithms that use arbitrary linear (hence non-adaptive) information provided by a (randomized) measurement matrix <span><math><mrow><mi>N</mi><mo>∈</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi><mo>×</mo><mi>m</mi></mrow></msup></mrow></math></span>. These lower bounds reflect the increasing difficulty of the problem for <span><math><mrow><mi>m</mi><mo>→</mo><mi>∞</mi></mrow></math></span>, namely, a term <span><math><msqrt><mrow><mo>log</mo><mi>m</mi></mrow></msqrt></math></span> in the complexity <span><math><mi>n</mi></math></span>. This result implies that non-compact operators between arbitrary Banach spaces are not approximable using non-adaptive Monte Carlo methods. We also compare these lower bounds for non-adaptive methods with upper bounds based on adaptive, randomized methods for recovery for which the complexity <span><math><mi>n</mi></math></span> only exhibits a <span><math><mrow><mo>(</mo><mo>log</mo><mo>log</mo><mi>m</mi><mo>)</mo></mrow></math></span>-dependence. In doing so we give an example of linear problems where the error for adaptive vs. non-adaptive Monte Carlo methods shows a gap of order <span><math><mrow><msup><mrow><mi>n</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><msup><mrow><mrow><mo>(</mo><mo>log</mo><mi>n</mi><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></mrow></math></span>.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"304 ","pages":"Article 106056"},"PeriodicalIF":0.9,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141568583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Lp Minkowski problem associated with the compatible functional F 与兼容函数相关的 Lp Minkowski 问题 <mml:math xmlns:mml="h
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-06-08 DOI: 10.1016/j.jat.2024.106057
Ni Li , Jin Yang
{"title":"The Lp Minkowski problem associated with the compatible functional F","authors":"Ni Li ,&nbsp;Jin Yang","doi":"10.1016/j.jat.2024.106057","DOIUrl":"10.1016/j.jat.2024.106057","url":null,"abstract":"<div><p>Motivated by some properties of the geometric measures for compact convex sets in the Brunn–Minkowski theory, such as the properties of the volume, the <span><math><mi>p</mi></math></span>-capacity <span><math><mrow><mo>(</mo><mn>1</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mi>n</mi><mo>)</mo></mrow></math></span> and the torsional rigidity for compact convex sets, we introduce a more general geometric invariant, called the compatible functional <span><math><mi>F</mi></math></span>. Inspired also by the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> Minkowski problem associated with the volume, the <span><math><mi>p</mi></math></span>-capacity and the torsional rigidity for compact convex sets, we pose the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> Minkowski problem associated with the compatible functional <span><math><mi>F</mi></math></span> and prove the existence of the solutions to this problem for <span><math><mrow><mi>p</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>. We will show that the volume, the <span><math><mi>p</mi></math></span>-capacity <span><math><mrow><mo>(</mo><mn>1</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>2</mn><mo>)</mo></mrow></math></span> and the torsional rigidity for compact convex sets are the compatible functionals. Thus, as an application, we provide the solution to the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> Minkowski problem <span><math><mrow><mo>(</mo><mn>0</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>1</mn><mo>)</mo></mrow></math></span> for arbitrary measure associated with <span><math><mi>p</mi></math></span>-capacity <span><math><mrow><mo>(</mo><mn>1</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>2</mn><mo>)</mo></mrow></math></span>.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"302 ","pages":"Article 106057"},"PeriodicalIF":0.9,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141410757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Orthonormal expansions for translation-invariant kernels 平移不变核的正交扩展
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-05-28 DOI: 10.1016/j.jat.2024.106055
Filip Tronarp , Toni Karvonen
{"title":"Orthonormal expansions for translation-invariant kernels","authors":"Filip Tronarp ,&nbsp;Toni Karvonen","doi":"10.1016/j.jat.2024.106055","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106055","url":null,"abstract":"<div><p>We present a general Fourier analytic technique for constructing orthonormal basis expansions of translation-invariant kernels from orthonormal bases of <span><math><mrow><msub><mrow><mi>ℒ</mi></mrow><mrow><mn>2</mn></mrow></msub><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span>. This allows us to derive explicit expansions on the real line for (i) Matérn kernels of all half-integer orders in terms of associated Laguerre functions, (ii) the Cauchy kernel in terms of rational functions, and (iii) the Gaussian kernel in terms of Hermite functions.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"302 ","pages":"Article 106055"},"PeriodicalIF":0.9,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021904524000418/pdfft?md5=e69b571338e575238b6d57e3630cb524&pid=1-s2.0-S0021904524000418-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141329214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chebyshev polynomials corresponding to a vanishing weight 与消失权重相对应的切比雪夫多项式
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-05-02 DOI: 10.1016/j.jat.2024.106048
Alex Bergman, Olof Rubin
{"title":"Chebyshev polynomials corresponding to a vanishing weight","authors":"Alex Bergman,&nbsp;Olof Rubin","doi":"10.1016/j.jat.2024.106048","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106048","url":null,"abstract":"<div><p>We consider weighted Chebyshev polynomials on the unit circle corresponding to a weight of the form <span><math><msup><mrow><mrow><mo>(</mo><mi>z</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></mrow><mrow><mi>s</mi></mrow></msup></math></span> where <span><math><mrow><mi>s</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>. For integer values of <span><math><mi>s</mi></math></span> this corresponds to prescribing a zero of the polynomial on the boundary. As such, we extend findings of Lachance et al. (1979), to non-integer <span><math><mi>s</mi></math></span>. Using this generalisation, we are able to relate Chebyshev polynomials on lemniscates and other, more established, categories of Chebyshev polynomials. An essential part of our proof involves the broadening of the Erdős–Lax inequality to encompass powers of polynomials. We believe that this particular result holds significance in its own right.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"301 ","pages":"Article 106048"},"PeriodicalIF":0.9,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021904524000340/pdfft?md5=69221809242b1dccb0aa329cd8cfc72b&pid=1-s2.0-S0021904524000340-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140900862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Kolmogorov widths of an intersection of a family of balls in a mixed norm 混合规范中球族交点的科尔莫格罗夫宽度
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-04-27 DOI: 10.1016/j.jat.2024.106046
A.A. Vasil’eva
{"title":"Kolmogorov widths of an intersection of a family of balls in a mixed norm","authors":"A.A. Vasil’eva","doi":"10.1016/j.jat.2024.106046","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106046","url":null,"abstract":"<div><p>In this paper, order estimates for the Kolmogorov <span><math><mi>n</mi></math></span>-widths of an intersection of a family of balls in a mixed norm in the space <span><math><msubsup><mrow><mi>l</mi></mrow><mrow><mi>q</mi><mo>,</mo><mi>σ</mi></mrow><mrow><mi>m</mi><mo>,</mo><mi>k</mi></mrow></msubsup></math></span> with <span><math><mrow><mn>2</mn><mo>⩽</mo><mi>q</mi><mo>,</mo><mspace></mspace><mi>σ</mi><mo>&lt;</mo><mi>∞</mi></mrow></math></span>, <span><math><mrow><mi>n</mi><mo>⩽</mo><mi>m</mi><mi>k</mi><mo>/</mo><mn>2</mn></mrow></math></span> are obtained.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"301 ","pages":"Article 106046"},"PeriodicalIF":0.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140900850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions 与一类广义解析函数相关的伯格曼和哈代空间的某些方面
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-04-27 DOI: 10.1016/j.jat.2024.106044
Zhongkai Li , Haihua Wei
{"title":"Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions","authors":"Zhongkai Li ,&nbsp;Haihua Wei","doi":"10.1016/j.jat.2024.106044","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106044","url":null,"abstract":"<div><p>For <span><math><mrow><mi>λ</mi><mo>≥</mo><mn>0</mn></mrow></math></span>, a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> function <span><math><mi>f</mi></math></span> defined on the unit disk <span><math><mi>D</mi></math></span> is said to be <span><math><mi>λ</mi></math></span>-analytic if <span><math><mrow><msub><mrow><mi>D</mi></mrow><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub><mi>f</mi><mo>=</mo><mn>0</mn></mrow></math></span>, where <span><math><msub><mrow><mi>D</mi></mrow><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub></math></span> is the (complex) Dunkl operator given by <span><math><mrow><msub><mrow><mi>D</mi></mrow><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub><mi>f</mi><mo>=</mo><msub><mrow><mi>∂</mi></mrow><mrow><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msub><mi>f</mi><mo>−</mo><mi>λ</mi><mrow><mo>(</mo><mi>f</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>−</mo><mi>f</mi><mrow><mo>(</mo><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>)</mo></mrow><mo>)</mo></mrow><mo>/</mo><mrow><mo>(</mo><mi>z</mi><mo>−</mo><mover><mrow><mi>z</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>)</mo></mrow></mrow></math></span>. The aim of the paper is to study several problems on the associated Bergman spaces <span><math><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mi>λ</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math></span> and Hardy spaces <span><math><mrow><msubsup><mrow><mi>H</mi></mrow><mrow><mi>λ</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math></span> for <span><math><mrow><mi>p</mi><mo>≥</mo><mn>2</mn><mi>λ</mi><mo>/</mo><mrow><mo>(</mo><mn>2</mn><mi>λ</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>, such as boundedness of the Bergman projection, growth of functions, density, completeness, and the dual spaces of <span><math><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mi>λ</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><msubsup><mrow><mi>H</mi></mrow><mrow><mi>λ</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math></span>, and characterization and interpolation of <span><math><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mi>λ</mi></mrow><mrow><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></mrow></math></span>.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"301 ","pages":"Article 106044"},"PeriodicalIF":0.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140894810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets 为两个不相交的凸集寻找最佳近似对的交替同步 Halpern-Lions-Wittmann-Bauschke 算法
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-04-27 DOI: 10.1016/j.jat.2024.106045
Yair Censor, Rafiq Mansour , Daniel Reem
{"title":"The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets","authors":"Yair Censor,&nbsp;Rafiq Mansour ,&nbsp;Daniel Reem","doi":"10.1016/j.jat.2024.106045","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106045","url":null,"abstract":"<div><p>Given two nonempty and disjoint intersections of closed and convex subsets, we look for a best approximation pair relative to them, i.e., a pair of points, one in each intersection, attaining the minimum distance between the disjoint intersections. We propose an iterative process based on projections onto the subsets which generate the intersections. The process is inspired by the Halpern–Lions–Wittmann–Bauschke algorithm and the classical alternating process of Cheney and Goldstein, and its advantage is that there is no need to project onto the intersections themselves, a task which can be rather demanding. We prove that under certain conditions the two interlaced subsequences converge to a best approximation pair. These conditions hold, in particular, when the space is Euclidean and the subsets which generate the intersections are compact and strictly convex. Our result extends the one of Aharoni, Censor and Jiang [“Finding a best approximation pair of points for two polyhedra”, Computational Optimization and Applications 71 (2018), 509–23] who considered the case of finite-dimensional polyhedra.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"301 ","pages":"Article 106045"},"PeriodicalIF":0.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141067416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Complex spherical designs from group orbits 来自群轨道的复杂球形设计
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-04-27 DOI: 10.1016/j.jat.2024.106047
Mozhgan Mohammadpour, Shayne Waldron
{"title":"Complex spherical designs from group orbits","authors":"Mozhgan Mohammadpour,&nbsp;Shayne Waldron","doi":"10.1016/j.jat.2024.106047","DOIUrl":"https://doi.org/10.1016/j.jat.2024.106047","url":null,"abstract":"<div><p>We consider the general question of when all orbits under the unitary action of a finite group give a complex spherical design. Those orbits which have large stabilisers are then good candidates for being optimal complex spherical designs. This is done by developing the general theory of complex designs and associated (harmonic) Molien series for group actions. As an application, we give explicit constructions of some putatively optimal real and complex spherical <span><math><mi>t</mi></math></span>-designs.</p></div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":"301 ","pages":"Article 106047"},"PeriodicalIF":0.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021904524000339/pdfft?md5=219ecf58a623a8cc1c9ad8954bcd36ab&pid=1-s2.0-S0021904524000339-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141083799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral decomposition of H1(μ) and Poincaré inequality on a compact interval — Application to kernel quadrature 紧凑区间上 H1(μ) 的谱分解和 Poincaré 不等式 - 核正交的应用
IF 0.9 3区 数学
Journal of Approximation Theory Pub Date : 2024-04-09 DOI: 10.1016/j.jat.2024.106041
Olivier Roustant , Nora Lüthen , Fabrice Gamboa
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