Copy For Citation
Yeşilkayagil M., Başar F.
Numerical Functional Analysis and Optimization, vol.38, no.8, pp.1069-1076, 2017 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
38
Issue:
8
-
Publication Date:
2017
-
Doi Number:
10.1080/01630563.2017.1316991
-
Journal Name:
Numerical Functional Analysis and Optimization
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
-
Page Numbers:
pp.1069-1076
-
Keywords:
Abel convergence of double sequence, double sequence, double series, Pringsheim convergence
-
Uşak University Affiliated:
Yes
Abstract
In this paper, we prove that if a double series converges to α, then the power series Σi, jai, jxiyj converges for all x,y∈(0,1) and its sum is α, as x,y∈(1−, 1−). But the converse of this is not true, in general. Our main goal is to show that the converse of the idea, above, is true under which condition/conditions.