東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Topics in uniform approximation of c...

Bucur, Ileana.

FindBook

Google Book

Amazon

博客來

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 functions/ by 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.
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.
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

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

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

706159
Functions, Continuous.

LC Class. No.: QA331

Dewey Class. No.: 515.222

Topics in uniform approximation of continuous functions
LDR:02206nmm a2200337 a 4500 001 2256043
003 DE-He213
005 20201228091812.0
006 m d
007 cr nn 008maaau
008 220420s2020 sz s 0 eng d
020 $a 9783030484125 $q (electronic bk.)
020 $a 9783030484118 $q (paper)
024 7 $a 10.1007/978-3-030-48412-5 $2 doi
035 $a 978-3-030-48412-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.222 $2 23
090 $a QA331 $b .B926 2020
100 1 $a Bucur, Ileana. $3 3526023
245 1 0 $a Topics in uniform approximation of continuous functions $h [electronic resource] / $c by Ileana Bucur, Gavriil Paltineanu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a x, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a 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.
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.
650 0 $a Functions, Continuous. $3 706159
650 0 $a Approximation theory. $3 628068
650 1 4 $a Functional Analysis. $3 893943
700 1 $a Paltineanu, Gavriil. $3 3526024
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-030-48412-5
950 $a Mathematics and Statistics (SpringerNature-11649)