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Topics in uniform approximation of c...

Bucur, Ileana.

Topics in uniform approximation of continuous functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topics in uniform approximation of continuous functionsby Ileana Bucur, Gavriil Paltineanu.
作者:	Bucur, Ileana.
其他作者:	Paltineanu, Gavriil.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	x, 140 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Functions, Continuous.
電子資源:	https://doi.org/10.1007/978-3-030-48412-5
ISBN:	9783030484125$q(electronic bk.)

Topics in uniform approximation of continuous functions
Bucur, Ileana.

Topics in uniform approximation of continuous functions[electronic resource] /by Ileana Bucur, Gavriil Paltineanu. - Cham :Springer International Publishing :2020. - x, 140 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

Approximation of continuous functions on compact spaces -- Approximation of continuous functions on locally compact spaces -- Approximation of continuous differentiable functions -- Approximations theorems in locally convex lattices.

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 in. 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.

ISBN: 9783030484125$q(electronic bk.)

Standard No.: 10.1007/978-3-030-48412-5doiSubjects--Topical Terms:

732703
Functions, Continuous.

LC Class. No.: QA331

Dewey Class. No.: 515.222

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520 $a 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 in. 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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