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A generalization of summability-(Z, p) of Silverman and Szász

Published online by Cambridge University Press:  20 January 2009

David L. Sherry
David L. Sherry
Affiliation:
University of West Florida
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A sequence x = {si} has been defined to be summable-(Z, p) to s if

Where p is a positive integer and

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 1 , June 1970 , pp. 53 - 57
Copyright
Copyright © Edinburgh Mathematical Society 1970

References

REFERENCES

(1) Borwein, D., Nörlund methods of summability associated with polynomials, Proc. Edinburgh Math. Soc. (2) 12(1959), 7–15.CrossRefGoogle Scholar
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(3) Hardy, G. H., Divergent Series (Oxford, 1949).Google Scholar
(4) Hill, J. D. and Sledd, W. T., Summability-(Z, p) and sequences of periodic type, Canad. J. Math. 16 (1964), 741–754.CrossRefGoogle Scholar
Silverman, L. L. and Szász, O., On a class of Nörlund matrices, Ann. of Math. (2) 45 (1944), 347–357.CrossRefGoogle Scholar