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Limitation theorems for some methods of summability

Published online by Cambridge University Press:  17 April 2009

Minoru Tanaka
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
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 373 - 384
Copyright
Copyright © Australian Mathematical Society 1980

References

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