Topics in Uniform Approximation of Continuous Functions

Topics in Uniform Approximation of Continuous Functions
Author :
Publisher : Springer Nature
Total Pages : 148
Release :
ISBN-10 : 9783030484125
ISBN-13 : 3030484122
Rating : 4/5 (122 Downloads)

Book Synopsis Topics in Uniform Approximation of Continuous Functions by : Ileana Bucur

Download or read book Topics in Uniform Approximation of Continuous Functions written by Ileana Bucur and published by Springer Nature. This book was released on 2020-08-18 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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