Topics in Uniform Approximation of Continuous Functions

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2020-08-18

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Description

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.

Pages
140 pages
Collection
Frontiers in Mathematics
Parution
2020-08-18
Marque
Birkhäuser
EAN papier
9783030484118
EAN PDF
9783030484125

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
1597 Ko
Prix
58,01 €
EAN EPUB
9783030484125

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
10332 Ko
Prix
58,01 €