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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彩色的蜡笔

Ryan Evely Gildersleeve,Katie Kleinhesselinkpproximative properties of sets are derived from their structural characteristics and put forward converse theorems in which from approximative characteristics of sets one derives their structural properties.

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歌剧等

Connectedness and Approximative Properties of Sets. Stability of the Metric Projection and Its Relapproximative properties of sets are derived from their structural characteristics and put forward converse theorems in which from approximative characteristics of sets one derives their structural properties.

Allowance

Alexey R. Alimov,Igor’ G. Tsar’kovPresents novel results in monograph form.Funded by the Russian Foundation for Basic Research.Suitable for researchers and postgraduates

negligence

Esoh Elamé,Ruben Bassani,Emanuela StefaniAn existence set is always closed and nonempty. Indeed, if a cluster point of an existence set . were not contained in ., then this point would clearly fail to have a nearest point in .. The converse assertion clearly holds in every finite-dimensional space .: every nonempty closed subset of a finite-dimensional normed space is an existence set.

Memorial

https://doi.org/10.1057/9781137495785In this chapter, we will consider the properties of the best approximants that distinguish it from other best approximants of an approximating set. Much emphasis will be placed on characterization properties of such approximants, from which algorithms for construction of elements of best approximation can be derived.

MITE

Dawn A. Marcus MD,Duren Michael Ready MDIn this chapter, we consider the class of Efimov–Stechkin spaces (reflexive spaces with the Kadec–Klee property). This class is a natural class of spaces in which sets with ‘good structure’ have ‘many’ points of approximative compactness (points of stability of the metric projection operator).

乐意

Introduction to Infectious Diseases,The Jung constant appears in many problems in various fields of mathematics. In the present chapter, we will give examples of such problems and present the available exact values of the Jung constant for several classical spaces.

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Main Notation, Definitions, Auxiliary Results, and Examples,An existence set is always closed and nonempty. Indeed, if a cluster point of an existence set . were not contained in ., then this point would clearly fail to have a nearest point in .. The converse assertion clearly holds in every finite-dimensional space .: every nonempty closed subset of a finite-dimensional normed space is an existence set.