A Tauberian Theorem on (λ, k)-Process of Summation

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Authors

  • Madras University ,IN

DOI:

https://doi.org/10.18311/jims/1939/17263

Abstract

I propose to prove here a generalization of a theorem due to Karamata on the (λ, k)-process of summation. This result includes all known Tauberian theorems on this process and can be applied to prove similar results on power series and Dirichlet's series.