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Titlebook: Geometric Approximation Theory; Alexey R. Alimov,Igor’ G. Tsar’kov Book 2021 The Editor(s) (if applicable) and The Author(s), under exclus

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发表于 2025-3-21 20:01:45 | 显示全部楼层 |阅读模式
书目名称Geometric Approximation Theory
编辑Alexey R. Alimov,Igor’ G. Tsar’kov
视频video
概述Presents novel results in monograph form.Funded by the Russian Foundation for Basic Research.Suitable for researchers and postgraduates
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Geometric Approximation Theory;  Alexey R. Alimov,Igor’ G. Tsar’kov Book 2021 The Editor(s) (if applicable) and The Author(s), under exclus
描述This monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of existence and uniqueness of elements of best approximations as well as properties of sets including subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a basis for various approximation sets, suns, and Chebyshev systems. Itconcludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and e
出版日期Book 2021
关键词best approximation; nearest point; metric projection; Chebyshev set; Chebyshev subspace; Chebyshev center
版次1
doihttps://doi.org/10.1007/978-3-030-90951-2
isbn_softcover978-3-030-90953-6
isbn_ebook978-3-030-90951-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Book 2021ry including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometri
发表于 2025-3-22 06:07:27 | 显示全部楼层
1439-7382 monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related
发表于 2025-3-22 11:07:32 | 显示全部楼层
Discursive Approaches to Language Policyonditions, we mention de la Vallée Poussin’s estimates (see Sect. .), the Haar characterization property (see Sect. .), and Mairhuber’s theorem (see Sect. .), which characterizes the metrizable compact sets . such that the space .(.) contains nontrivial finite-dimensional Chebyshev subspaces.
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ar cones, are discussed in Sect. .. The alternation theorem for Haar cones is given in Sect. .. Next in ., we discuss the property of varisolvency, which is a generalization of the classical Haar condition.
发表于 2025-3-22 18:44:50 | 显示全部楼层
Comparative Epidemiology Experiment: Brazil,ters. In particular, this problem includes the classical Bernstein’s problem of approximation of an element by a fixed family of nested planes or the generalization of this problem to rational approximations by a family of rational functions.
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,Width. Approximation by a Family of Sets,ters. In particular, this problem includes the classical Bernstein’s problem of approximation of an element by a fixed family of nested planes or the generalization of this problem to rational approximations by a family of rational functions.
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