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Conditions for the equivalence of power series and discrete power series methods of summability
Last modified: 2014-01-31
Abstract
Discrete power series methods were introduced and their regularity results were developed by Watson. It was shown by Watson that discrete power series method $(P_\lambda)$ strictly includes corresponding power series method $(P)$. In the present work we present theorems showing when $(P_\lambda)$ and $(P)$ are equivalent methods and when two discrete power series methods are equivalent.
Keywords
Equivalence theorems, power series methods, discrete power series methods