Abstract
We obtain sufficient conditions for the series $\sum\nolimits a_{n}\lambda_n$ to be absolutely summable of order $k$ by a triangular matrix.
Citation
Ekrem Sava\c{s}. "A summability factor theorem for infinite series.." Real Anal. Exchange 30 (2) 539 - 546, 2004-2005.
Information
Published: 2004-2005
First available in Project Euclid: 15 October 2005
zbMATH: 1102.40004
MathSciNet: MR2177417
Subjects:
Primary:
40G99
Secondary:
40D15
,
40G05
Keywords:
absolute summability
,
Ces\'{a}ro matrix
,
summability factor
,
weighted mean matrix
Rights: Copyright © 2004 Michigan State University Press