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Regular and Mercerian Generalized Lototsky Method

Published online by Cambridge University Press:  20 November 2018

J. F. Miller  and
H. B. Skerry
J. F. Miller
Affiliation:
The Pennsylvania State University Berks Campus, Reading, PA
H. B. Skerry
Affiliation:
Bell Laboratories Holmdel, NJ
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Abstract

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Necessary conditions and sufficient conditions are obtained for the generalized Lototsky summability matrix method (F, dn) to be regular and Mercerian. In particular, a set of conditions equivalent to being regular and Mercerian is given for real {dn} and for complex {dn} eventually in any closed half-plane containing the origin.

Keywords

40G99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 65 - 71
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Petersen, G. M., Regular Matrix Transformations, McGraw-Hill, 1966.Google Scholar
2. Saks, S. and Zygmund, A., Analytic Functions, Polish Scientific, 1965.Google Scholar
3. Skerry, H. B., Mercerian conditions for the method (F,dn), Canadian J. Math. 23 (1971), 1078-1085.Google Scholar