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Topics in Uniform Approximation of Continuous Functions (Frontiers in Mathematics) - Tapa blanda

Libro 45 de 48: Frontiers in Mathematics

Bucur, Ileana; Paltineanu, Gavriil

 
9783030484118: Topics in Uniform Approximation of Continuous Functions (Frontiers in Mathematics)
Tapa blanda
ISBN 10: 3030484114 ISBN 13: 9783030484118
Editorial: Birkhäuser, 2020

Sinopsis

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.


"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

De la contraportada

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.


"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2020
Idioma
Inglés
ISBN 10 
3030484114
ISBN 13 
9783030484118
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
140
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