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Absolute phi-summability with a power for A-methods

Department of Stochastics

 

General Information

Author: Simon Baron and Rüdiger Kiesel
To appear in: Journal of Analysis
Contact: kiesel@mathematik.uni-ulm.de

Abstract

In this paper we give necessary and sufficient conditions for a sequence of complex numbers to be summability factors of type for various (r,s) combinations, where A is an matrix of summability and B is a triangular matrix of summability satisfying certain regularity conditions. As examples we discuss summability factors of the above type in the case B=Zß;, the method of Silverman-Szasz, and in case A=Ma and B=Mb with Ma and Mb being summability methods of weighted means.

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Alexander Schöne -- Last update: May 15, 1997