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Frontiers in Mathematics

Topics in Uniform Approximation of Continuous Functions

Authors: Bucur, Ileana, Paltineanu, Gavriil

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  • Features compact and clearly presented proofs
  • Focuses on approximation theory, providing the key concepts needed to grasp the subject matter
  • Highlighting classic approximation results but also new work, it represents an important contribution to the area of approximation theory
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eBook 46,00 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48412-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 54,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48411-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

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.


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 46,00 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48412-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 54,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-48411-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Uniform Approximation of Continuous Functions
Authors
Series Title
Frontiers in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-48412-5
DOI
10.1007/978-3-030-48412-5
Softcover ISBN
978-3-030-48411-8
Series ISSN
1660-8046
Edition Number
1
Number of Pages
X, 140
Number of Illustrations
1 illustrations in colour
Topics