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Topics in uniform approximation of c...
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Bucur, Ileana.
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Topics in uniform approximation of continuous functions /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Topics in uniform approximation of continuous functions // Ileana Bucur, Gavriil Paltineanu.
作者:
Bucur, Ileana.
其他作者:
Paltineanu, Gavriil.
出版者:
Cham, Switzerland :Birkhäuser, : c2020.,
面頁冊數:
x, 140 p. ;24 cm.
內容註:
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.
標題:
Functional analysis. -
ISBN:
9783030484118
Topics in uniform approximation of continuous functions /
Bucur, Ileana.
Topics in uniform approximation of continuous functions /
Ileana Bucur, Gavriil Paltineanu. - Cham, Switzerland :Birkhäuser,c2020. - x, 140 p. ;24 cm. - Frontiers in mathematics,1660-8046.
Includes bibliographical references and index.
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 ¡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.
ISBN: 9783030484118EUR27.99Subjects--Topical Terms:
531838
Functional analysis.
LC Class. No.: QA331 / .B83 2020
Dewey Class. No.: 515.7
Topics in uniform approximation of continuous functions /
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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.
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