國立高雄大學圖資館 |

Language: English

Back

Classical summability theory

Natarajan, P.N.

Classical summability theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Classical summability theoryby P.N. Natarajan.
Author:	Natarajan, P.N.
Published:	Singapore :Springer Singapore :2017.
Description:	xi, 130 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Summability theory.
Online resource:	http://dx.doi.org/10.1007/978-981-10-4205-8
ISBN:	9789811042058$q(electronic bk.)

Classical summability theory
Natarajan, P.N.

Classical summability theory[electronic resource] /by P.N. Natarajan. - Singapore :Springer Singapore :2017. - xi, 130 p. :ill., digital ;24 cm.

This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory.

ISBN: 9789811042058$q(electronic bk.)

Standard No.: 10.1007/978-981-10-4205-8doiSubjects--Topical Terms:

199058
Summability theory.

LC Class. No.: QA295

Dewey Class. No.: 515.243

Classical summability theory
LDR:01913nmm a2200301 a 4500 001 512209
003 DE-He213
005 20170427064657.0
006 m d
007 cr nn 008maaau
008 171226s2017 si s 0 eng d
020 $a 9789811042058$q(electronic bk.)
020 $a 9789811042041$q(paper)
024 7 $a 10.1007/978-981-10-4205-8 $2 doi
035 $a 978-981-10-4205-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA295
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.243 $2 23
090 $a QA295 $b .N273 2017
100 1 $a Natarajan, P.N. $3 731811
245 1 0 $a Classical summability theory $h [electronic resource] / $c by P.N. Natarajan.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a xi, 130 p. : $b ill., digital ; $c 24 cm.
520 $a This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory.
650 0 $a Summability theory. $3 199058
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Sequences, Series, Summability. $3 275704
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-4205-8
950 $a Mathematics and Statistics (Springer-11649)