Open Access

Subsequential Convergence Conditions

Journal of Inequalities and Applications20072007:087414

DOI: 10.1155/2007/87414

Received: 27 April 2007

Accepted: 19 August 2007

Published: 9 October 2007


Let be a sequence of real numbers and let be any regular limitable method. We prove that, under some assumptions, if a sequence or its generator sequence generated regularly by a sequence in a class of sequences is a subsequential convergence condition for , then for any integer , the repeated arithmetic means of , , generated regularly by a sequence in the class , is also a subsequential convergence condition for .


Authors’ Affiliations

Department of Mathematics, Adnan Menderes University
Department of Mathematics, Rockford College


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© İbrahim Çanak et al. 2007

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