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Constructive Approximation最新文献

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Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line 修正:矩阵正交多项式在实线上的近似渐近性
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2023-01-25 DOI: 10.1007/s00365-023-09616-6
Rostyslav Kozhan
{"title":"Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line","authors":"Rostyslav Kozhan","doi":"10.1007/s00365-023-09616-6","DOIUrl":"https://doi.org/10.1007/s00365-023-09616-6","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"1 1","pages":"1-5"},"PeriodicalIF":2.7,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42782501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Cyclic Polynomials in Dirichlet-Type Spaces in the Unit Ball of $${mathbb {C}}^2$$ C 2 单位球$$｛mathbb｛C｝｝^2$$C2的Dirichlet型空间中的循环多项式
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2023-01-21 DOI: 10.1007/s00365-022-09610-4
Łukasz Kosiński, Dimitrios Vavitsas
{"title":"Cyclic Polynomials in Dirichlet-Type Spaces in the Unit Ball of \u0000 \u0000 \u0000 \u0000 $${mathbb {C}}^2$$\u0000 \u0000 \u0000 \u0000 C\u0000 \u0000 2\u0000 \u0000 \u0000 ","authors":"Łukasz Kosiński, Dimitrios Vavitsas","doi":"10.1007/s00365-022-09610-4","DOIUrl":"https://doi.org/10.1007/s00365-022-09610-4","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"1 1","pages":"1-19"},"PeriodicalIF":2.7,"publicationDate":"2023-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46988109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Properties of Vector-Valued $$tau $$ τ -Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives 向量值$$tau $$ τ -离散分数阶微积分的性质及其与Caputo分数阶导数的联系
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2023-01-05 DOI: 10.1007/s00365-022-09615-z
Yong-Kui Chang, Rodrigo Ponce
{"title":"Properties of Vector-Valued \u0000 \u0000 \u0000 \u0000 $$tau $$\u0000 \u0000 τ\u0000 \u0000 -Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives","authors":"Yong-Kui Chang, Rodrigo Ponce","doi":"10.1007/s00365-022-09615-z","DOIUrl":"https://doi.org/10.1007/s00365-022-09615-z","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"1 1","pages":"1-12"},"PeriodicalIF":2.7,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44549161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. 欧氏球、特殊正交群和Grassmannian流形上差异核的谱分解。
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2023-01-01 Epub Date: 2023-04-07 DOI: 10.1007/s00365-023-09638-0
Josef Dick, Martin Ehler, Manuel Gräf, Christian Krattenthaler
{"title":"Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold.","authors":"Josef Dick,&nbsp;Martin Ehler,&nbsp;Manuel Gräf,&nbsp;Christian Krattenthaler","doi":"10.1007/s00365-023-09638-0","DOIUrl":"10.1007/s00365-023-09638-0","url":null,"abstract":"<p><p>To numerically approximate Borel probability measures by finite atomic measures, we study the spectral decomposition of discrepancy kernels when restricted to compact subsets of <math><msup><mrow><mi>R</mi></mrow><mi>d</mi></msup></math>. For restrictions to the Euclidean ball in odd dimensions, to the rotation group <math><mrow><mtext>SO</mtext><mo>(</mo><mn>3</mn><mo>)</mo></mrow></math>, and to the Grassmannian manifold <math><msub><mi>G</mi><mrow><mn>2</mn><mo>,</mo><mn>4</mn></mrow></msub></math>, we compute the kernels' Fourier coefficients and determine their asymptotics. The <math><msub><mi>L</mi><mn>2</mn></msub></math>-discrepancy is then expressed in the Fourier domain that enables efficient numerical minimization based on the nonequispaced fast Fourier transform. For <math><mrow><mtext>SO</mtext><mo>(</mo><mn>3</mn><mo>)</mo></mrow></math>, the nonequispaced fast Fourier transform is publicly available, and, for <math><msub><mi>G</mi><mrow><mn>2</mn><mo>,</mo><mn>4</mn></mrow></msub></math>, the transform is derived here. We also provide numerical experiments for <math><mrow><mtext>SO</mtext><mo>(</mo><mn>3</mn><mo>)</mo></mrow></math> and <math><msub><mi>G</mi><mrow><mn>2</mn><mo>,</mo><mn>4</mn></mrow></msub></math>.</p>","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"57 3","pages":"983-1026"},"PeriodicalIF":2.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10264311/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9655527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 3
On the Algebraic Difference Independence of the Euler Gamma Function Γdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$ Euler Gamma函数的代数差分独立性Γdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amssy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-12-20 DOI: 10.1007/s00365-022-09600-6
Xiao-Min Li, Hassan Tahir, Xue-Yuan Gao
{"title":"On the Algebraic Difference Independence of the Euler Gamma Function Γdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$","authors":"Xiao-Min Li, Hassan Tahir, Xue-Yuan Gao","doi":"10.1007/s00365-022-09600-6","DOIUrl":"https://doi.org/10.1007/s00365-022-09600-6","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"58 1","pages":"121 - 149"},"PeriodicalIF":2.7,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41903987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
On the Log-Concavity of the Wright Function 关于赖特函数的对数凹性
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-12-15 DOI: 10.1007/s00365-023-09666-w
R. Ferreira, T. Simon
{"title":"On the Log-Concavity of the Wright Function","authors":"R. Ferreira, T. Simon","doi":"10.1007/s00365-023-09666-w","DOIUrl":"https://doi.org/10.1007/s00365-023-09666-w","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":" ","pages":""},"PeriodicalIF":2.7,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46483566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Compactly-Supported Isotropic Covariances on Spheres Obtained from Matrix-Valued Covariances in Euclidean Spaces 欧几里德空间中由矩阵值协方差得到的球上紧支持的各向同性协方差
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-12-03 DOI: 10.1007/s00365-022-09603-3
Xavier Emery, Nadia Mery, Farzaneh Khorram, Emilio Porcu
{"title":"Compactly-Supported Isotropic Covariances on Spheres Obtained from Matrix-Valued Covariances in Euclidean Spaces","authors":"Xavier Emery, Nadia Mery, Farzaneh Khorram, Emilio Porcu","doi":"10.1007/s00365-022-09603-3","DOIUrl":"https://doi.org/10.1007/s00365-022-09603-3","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"58 1","pages":"181 - 198"},"PeriodicalIF":2.7,"publicationDate":"2022-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47208260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators 与算子相关的Besov和triiebel - lizorkin空间的对偶
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-11-19 DOI: 10.1007/s00365-022-09602-4
A. G. Georgiadis, G. Kyriazis
{"title":"Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators","authors":"A. G. Georgiadis, G. Kyriazis","doi":"10.1007/s00365-022-09602-4","DOIUrl":"https://doi.org/10.1007/s00365-022-09602-4","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"57 1","pages":"547-577"},"PeriodicalIF":2.7,"publicationDate":"2022-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48132097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Coconvex Approximation of Periodic Functions 周期函数的协凸逼近
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-10-27 DOI: 10.1007/s00365-022-09597-y
D. Leviatan, I. Shevchuk
{"title":"Coconvex Approximation of Periodic Functions","authors":"D. Leviatan, I. Shevchuk","doi":"10.1007/s00365-022-09597-y","DOIUrl":"https://doi.org/10.1007/s00365-022-09597-y","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"57 1","pages":"695-726"},"PeriodicalIF":2.7,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43514197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Nonlinear Wavelet Approximation in BMO BMO中的非线性小波逼近
IF 2.7 2区 数学
Constructive Approximation Pub Date : 2022-10-10 DOI: 10.1007/s00365-022-09596-z
K. Ivanov, P. Petrushev
{"title":"Nonlinear Wavelet Approximation in BMO","authors":"K. Ivanov, P. Petrushev","doi":"10.1007/s00365-022-09596-z","DOIUrl":"https://doi.org/10.1007/s00365-022-09596-z","url":null,"abstract":"","PeriodicalId":50621,"journal":{"name":"Constructive Approximation","volume":"57 1","pages":"631-661"},"PeriodicalIF":2.7,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42538823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
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