Title

Some Tauberian theorems for four-dimensional Euler and Borel summability

Document Type

Article

Publication Date

1-1-2015

Abstract

The four-dimensional summability methods of Euler and Borel are studied as mappings from absolutely convergent double sequences into themselves. Also the following Tauberian results are proved: if x = (xm,n) is a double sequence that is mapped into ℓ2 by the four-dimensional Borel method and the double sequence x satisfies (Formula presented.) and (Formula presented.), then x itself is in ℓ2.

Publication Title

Advances in Difference Equations

Volume

2015

Issue

1

Digital Object Identifier (DOI)

10.1186/s13662-015-0381-2

ISSN

16871839

E-ISSN

16871847

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