Mikhail Konstantinovich Potapov

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.1070/RM9995

P. Borodin, M. Dyachenko, B. Kashin, T. P. Lukashenko, I. Mel'nikov, V. A. Sadovnichii, B. Simonov, V. Skvortsov, A. P. Solodov, V. Temlyakov, S. Tikhonov, V. M. Fedorov

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Abstract

The well-known mathematician in the theory of functions of a real variable and a leading expert in mathematical education Mikhail Konstantinovich Potapov observed his 90th birthday on 29 January 2021. Potapov was born in Pyatigorsk and graduated from Pyatigorsk Pedagogical Institute in 1952 as a teacher of mathematics and physics in secondary school. Subsequently, after he developed into a prominent figure in mathematics, he remained always mindful of the teaching of mathematics in school and he wrote innovative textbooks. He completed his postgraduate studies in the Faculty of Mechanics and Mathematics at Moscow State University (MSU), with S. M. Nikol’skii as his scientific advisor. Since then Potapov’s research and teaching activities have been connected with MSU, where he has been one of the leading professors in the Faculty of Mechanics and Mathematics for decades. He is the author of more than 250 research papers, and the total number of his publications exceeds 800. The main topics of his investigations are the theory of approximations of functions, embedding theorems, and trigonometric series. He was one of the first authors to study approximations of functions by algebraic polynomials in an integral metric. In the 1950s he proved Jackson’s theorem for Lipschitz classes in the spaces Lp, 1 ⩽ p < ∞. He described various structural characteristics of classes of continuous functions on a closed interval or a half-line that have one or another order of best approximation by algebraic polynomials, and he answered the question of the stability of these characteristics in the classical cases of Jacobi and Laguerre weights. He proved Jackson’s theorem and its converse for best approximation by algebraic polynomials and the moduli of smoothness defined in terms of symmetric

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米哈伊尔·康斯坦丁诺维奇·波塔波夫

著名的实变量函数理论数学家、数学教育的主要专家米哈伊尔·康斯坦丁诺维奇·波波夫于2021年1月29日庆祝了他的90岁生日。波塔波夫出生于皮亚季戈尔斯克，1952年毕业于皮亚季戈尔斯克教育学院，担任中学数学和物理教师。后来，在他成为数学界的杰出人物后，他始终关注学校的数学教学，并撰写了创新的教科书。他在莫斯科国立大学(MSU)力学和数学系完成了研究生学习，s.m. Nikol 'skii是他的科学顾问。从那时起，波塔波夫的研究和教学活动就与密歇根州立大学联系在一起，几十年来他一直是力学和数学学院的主要教授之一。发表研究论文250余篇，发表论文总数超过800篇。他研究的主要课题是函数的近似理论、嵌入定理和三角级数。他是最早研究积分度规中代数多项式函数近似的作者之一。在20世纪50年代，他在空间Lp, 1≤p <∞上证明了Lipschitz类的Jackson定理。他描述了闭区间或半线上具有一阶或另一阶代数多项式最佳逼近的连续函数类的各种结构特征，并在Jacobi权值和Laguerre权值的经典情况下回答了这些特征的稳定性问题。他用代数多项式证明了杰克逊定理及其逆定理的最佳逼近，并用对称的形式定义了光滑的模

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.