Abstract
This paper is to develop theorems concerning the REGULARITY of the method “F” which is more general than Cesaro′s, Able′s and Riemann′s methods In the theory of summabillty.
Highlights
There are many well-knownmethods in the theory of summability which has many uses throughout analysis and applied mathematics, for example, Cesaro’s, Able’s, Theory
There is less information about Regularity available covering the research in this method
This note concerns the regularity of the "F"
Summary
There are many well-knownmethods in the theory of summability which has many uses throughout analysis and applied mathematics, for example, Cesaro’s, Able’s, Theory. There is less information about Regularity available covering the research in this method. Suppose that is a sequence of functions defined in an interval 0 < x b and that for each n lim x/0 F(x) [ an Fn(x) is convergent in some interval 0 < x c < b and lim F(x) S. There is a well-known theorem about the regularity of the "F" method.
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