Multidimensional Linear Functional Connected with Double Strong Cesàro Summability

Document Type

Article

Publication Date

3-1-2020

Abstract

In 1964 Borwein presented functional characterization of the normed linear spaces wp and Wp. These two spaces are clearly linked to Cesàro summability [C, 1] in particular it should be noted that a sequence x in wp if and only if x is Cesàro summable. The goal of this paper includes extension of these notions to double function space thus producing multidimensional analog of Borwein’s results.

Publication Title

Indian Journal of Pure and Applied Mathematics

Volume

51

Issue

1

First Page

143

Last Page

153

Digital Object Identifier (DOI)

10.1007/s13226-020-0390-z

ISSN

00195588

E-ISSN

09757465

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