Topics in Uniform Approximation of Continuous Functions (Paperback, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	August 2020
First published:	2020
Authors:	Ileana Bucur • Gavriil Paltineanu
Dimensions:	240 x 168mm (L x W)
Format:	Paperback
Pages:	140
Edition:	1st ed. 2020
ISBN-13:	978-3-03-048411-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-03-048411-4
Barcode:	9783030484118

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