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Limitation theorems for some methods of summability

Published online by Cambridge University Press:  17 April 2009

Minoru Tanaka
Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, Chiba 280, Japan.
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Abstract

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The object of this paper is to establish limitation theorems for the ordinary and also absolute generalized Nörlund methods which include some known results as special cases. We shall give a different proof of the recent result of S. Narang (Proc. Indian Acad. Sci. Sect. A 88 (1979), 115–123), and we get a generalization of the result of G. Das (J. London Math. Soc. 41 (1966), 685–692) which states the summability factors of the absolute Nörlund methods.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1980

References

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