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Topics in Uniform Approximation of Continuous Functions 1st edition by Ileana Bucur, Gavriil Paltineanu 3030484118 9783030484118

Name: Topics in Uniform Approximation of Continuous Functions 1st edition by Ileana Bucur, Gavriil Paltineanu 3030484118 9783030484118
SKU: EB-22505826
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Topics in Uniform Approximation of Continuous Functions Ileana Bucur Digital Instant Download

Author(s): Ileana Bucur, Gavriil Paltineanu

ISBN(s): 9783030484118, 9783030484125, 3030484114, 3030484122

Edition: 1st ed.

File Details: PDF, 1.53 MB

Year: 2020

Language: English

SKU: EB-22505826 Category: Science (General) Tags: Gavriil Paltineanu, Ileana Bucur

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Topics in Uniform Approximation of Continuous Functions 1st edition by Ileana Bucur, Gavriil Paltineanu – Ebook PDF Instant Download/Delivery: 3030484118, 9783030484118
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Product details:

ISBN 10: 3030484118

ISBN 13: 9783030484118

Author: Ileana Bucur, Gavriil Paltineanu

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.

Topics in Uniform Approximation of Continuous Functions 1st Table of contents:

1. Approximation of Continuous Functions on Compact Spaces
2. Approximation of Continuous Functions on Locally Compact Spaces
3. Approximation of Continuously Differentiable Functions
4. Approximation Theorems in Locally Convex Lattices

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Tags: Uniform Approximation, Continuous Functions, Ileana Bucur, Gavriil Paltineanu