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Titlebook: Topics in Uniform Approximation of Continuous Functions; Ileana Bucur,Gavriil Paltineanu Book 2020 The Editor(s) (if applicable) and The A

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書目名稱Topics in Uniform Approximation of Continuous Functions
編輯Ileana Bucur,Gavriil Paltineanu
視頻videohttp://file.papertrans.cn/927/926306/926306.mp4
概述Features compact and clearly presented proofs.Focuses on approximation theory, providing the key concepts needed to grasp the subject matter.Highlighting classic approximation results but also new wor
叢書名稱Frontiers in Mathematics
圖書封面Titlebook: Topics in Uniform Approximation of Continuous Functions;  Ileana Bucur,Gavriil Paltineanu Book 2020 The Editor(s) (if applicable) and The A
描述.This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included..In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on??n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type..The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions..
出版日期Book 2020
關(guān)鍵詞Weierstrass; approximation; algebraic polynomial; trigonometric polynomial; polynomial functions
版次1
doihttps://doi.org/10.1007/978-3-030-48412-5
isbn_softcover978-3-030-48411-8
isbn_ebook978-3-030-48412-5Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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1660-8046 .Highlighting classic approximation results but also new wor.This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up
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Approximation of Continuous Functions on Locally Compact Spaces,Throughout this section . will be a locally compact Hausdorff space, and . the real or complex numbers. Also, we shall denote by ., or simply .(.), the space of all continuous functions on . with values in ..
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Approximation of Continuously Differentiable Functions,In this chapter, we study some approximation properties for different classes of differentiable real functions defined on open set Ω of ., ..
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Ileana Bucur,Gavriil PaltineanuFeatures compact and clearly presented proofs.Focuses on approximation theory, providing the key concepts needed to grasp the subject matter.Highlighting classic approximation results but also new wor
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