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Titlebook: Mathematical Analysis, Approximation Theory and Their Applications; Themistocles M. Rassias,Vijay Gupta Book 2016 Springer International P

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发表于 2025-3-21 17:00:02 | 显示全部楼层 |阅读模式
书目名称Mathematical Analysis, Approximation Theory and Their Applications
编辑Themistocles M. Rassias,Vijay Gupta
视频video
概述Presents papers on mathematical analysis and approximation theory from distinguished scientists and experts.Develops the understanding of problems and theories in pure and applied research.Reinforces
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Mathematical Analysis, Approximation Theory and Their Applications;  Themistocles M. Rassias,Vijay Gupta Book 2016 Springer International P
描述Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
出版日期Book 2016
关键词Approximation Theory; Mathematical Analysis; Special Functions; computer aided geometric design; linear
版次1
doihttps://doi.org/10.1007/978-3-319-31281-1
isbn_softcover978-3-319-81005-8
isbn_ebook978-3-319-31281-1Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer International Publishing Switzerland 2016
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发表于 2025-3-21 23:39:28 | 显示全部楼层
Cantor, Banach and Baire Theorems in Generalized Metric Spaces,In the paper we present basic results for generalized metric spaces: Cantor, Banach and Baire theorems, well known and widely applied in metric spaces and mathematics.
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Approximation of Functions by Additive and by Quadratic Mappings,In this chapter, we characterize the functions with values in a Banach space which can be approximated by additive mappings, with a given error. Also, we give a characterization of functions with values in a Banach space which can be approximated by a quadratic mapping, with a given error.
发表于 2025-3-22 13:05:39 | 显示全部楼层
https://doi.org/10.1007/978-3-319-31281-1Approximation Theory; Mathematical Analysis; Special Functions; computer aided geometric design; linear
发表于 2025-3-22 18:38:56 | 显示全部楼层
Bivariate Extension of Linear Positive Operators,y the approximation properties of these operators in the space of functions of two variables, continuous on a compact set. We also discuss the convergence of the operators in a weighted space of functions of two variables and find the rate of this convergence by means of modulus of continuity.
发表于 2025-3-23 00:36:56 | 显示全部楼层
,Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives,ose with conjugate, right-focal, and Lidstone conditions. With the conformable differential equation and boundary conditions established, we find the corresponding Green’s functions and prove their positivity under appropriate assumptions.
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,Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation, functional equation . where ., . are continuous complex valued functions on a locally compact group ., . is a compact subgroup of morphisms of ., . is the normalized Haar measure on . and . is a .-invariant complex measure with compact support.
发表于 2025-3-23 06:22:13 | 显示全部楼层
Themistocles M. Rassias,Vijay GuptaPresents papers on mathematical analysis and approximation theory from distinguished scientists and experts.Develops the understanding of problems and theories in pure and applied research.Reinforces
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