Journal of Approximation Theory最新文献_第3页

Peter Borwein: A philosopher’s mathematician 彼得-博文哲学家的数学家

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106071

David H. Bailey

引用次数: 0

In memory of Peter Borwein 纪念彼得-博尔文

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106072

Stephen Choi

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In memory of Peter Borwein 纪念彼得-博尔文

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106075

Boris Shekhtman

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Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020) 缅怀彼得-本杰明-博文（1953 年 5 月 10 日 - 2020 年 8 月 23 日）

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106073

Doron S. Lubinsky

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PII: S0021-9045(24)00055-8

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106069

Paul Nevai, Amos Ron

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In Memoriam: Peter Benjamin Borwein (1953–2020) 悼念：彼得-本杰明-博文（1953-2020）

IF 0.9 3区数学

Journal of Approximation Theory Pub Date : 2024-07-05 DOI: 10.1016/j.jat.2024.106074

Michael J. Mossinghoff

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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

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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

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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 , Jin Yang","doi":"10.1016/j.jat.2024.106057","DOIUrl":"10.1016/j.jat.2024.106057","url":null,"abstract":"<div>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 <math><mi>p</mi></math>-capacity <math><mrow><mo>(</mo><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mi>n</mi><mo>)</mo></mrow></math> and the torsional rigidity for compact convex sets, we introduce a more general geometric invariant, called the compatible functional <math><mi>F</mi></math>. Inspired also by the <math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math> Minkowski problem associated with the volume, the <math><mi>p</mi></math>-capacity and the torsional rigidity for compact convex sets, we pose the <math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math> Minkowski problem associated with the compatible functional <math><mi>F</mi></math> and prove the existence of the solutions to this problem for <math><mrow><mi>p</mi><mo>></mo><mn>0</mn></mrow></math>. We will show that the volume, the <math><mi>p</mi></math>-capacity <math><mrow><mo>(</mo><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mn>2</mn><mo>)</mo></mrow></math> and the torsional rigidity for compact convex sets are the compatible functionals. Thus, as an application, we provide the solution to the <math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math> Minkowski problem <math><mrow><mo>(</mo><mn>0</mn><mo><</mo><mi>p</mi><mo><</mo><mn>1</mn><mo>)</mo></mrow></math> for arbitrary measure associated with <math><mi>p</mi></math>-capacity <math><mrow><mo>(</mo><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mn>2</mn><mo>)</mo></mrow></math>.</div>","PeriodicalId":54878,"journal":{"name":"Journal of Approximation Theory","volume":null,"pages":null},"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

引用次数: 0