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Titlebook: Approximation with Positive Linear Operators and Linear Combinations; Vijay Gupta,Gancho Tachev Book 2017 Springer International Publishin

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期刊全称Approximation with Positive Linear Operators and Linear Combinations
影响因子2023Vijay Gupta,Gancho Tachev
视频videohttp://file.papertrans.cn/161/160451/160451.mp4
发行地址Overviews approximation by linear combinations of positive linear operators.Enriches understanding of fundamental and recent results from the past decade.Serves as a reference for graduate courses and
学科分类Developments in Mathematics
图书封面Titlebook: Approximation with Positive Linear Operators and Linear Combinations;  Vijay Gupta,Gancho Tachev Book 2017 Springer International Publishin
影响因子.This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators .Ln. , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduateand postgraduate courses as well as a basis for future study and development. . .
Pindex Book 2017
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,Die Gittertheorie der festen Körper,It was pointed out by Feilong and Zongben [56] that the Baskokov operators with the weight function ..(.) = .(1 + .) are non-concave on [0, .). By using the Ditzian–Totik modulus. of .-th order with . they established the following four main results for the classical Baskakov operators.
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,Die Gittertheorie der festen Körper,Let . be a subspace of .[0, .) which contains the polynomials and ..: . → .[0, .) be a sequence of linear positive operators. The weighted modulus of continuity, considered by Acar–Aral–Rasa in [7] is denoted by . and given by
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