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Recent Results on Markov Moment Problem, Polynomial: Approximation and Related Fields in Analysis

Recent Results on Markov Moment Problem, Polynomial: Approximation and Related Fields in Analysis

Paperback

General Mathematics

ISBN10: 9975153224
ISBN13: 9789975153225
Publisher: Generis Pub
Published: Sep 15 2020
Pages: 100
Weight: 0.32
Height: 0.21 Width: 5.98 Depth: 9.02
Language: English
The main purposes of this book are: 1) applying generalized Hahn-Banach type results and relatively recent results on polynomial approximation on unbounded subsets to the existence and uniqueness of the solutions for some Markov moment problems; determining the norms of the linear solutions by means of the continuous convex dominating operator; Mazur-Orlicz theorems in concrete spaces are also under attention; 2) studding properties of convex functions and operators and related optimization; 3) emphasizing applications of a global Newton like method for convex operators and its relationship with contraction principle; 4) pointing out invariant subspaces and invariant balls for a class of bounded linear operators; 5) passing from results of linear functional analysis to the nonlinear case; 6) proving topological versions for sandwich type results over simplexes and over finite-simplicial sets; links between the first and the last chapters are also discussed.

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General Mathematics