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On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence

Published online by Cambridge University Press:  20 November 2018

Jeff Connor
Jeff Connor*
Affiliation:
Dept. of Mathematics, Ohio University, Athens, Ohio, 45701
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Abstract

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The definition of strong Cesaro summability with respect to a modulus is extended to a definition of strong A -summability with respect to a modulus when A is a nonnegative regular matrix summability method. It is shown that if a sequence is strongly A-summable with respect to an arbitrary modulus then it is A-statistically convergent and that Astatistical convergence and strong A-summability with respect to a modulus are equivalent on the bounded sequences.

Keywords

40D2540A05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 194 - 198
Copyright
Copyright © Canadian Mathematical Society 1989

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