The Journal of the Indian Mathematical Society

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


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1 Madras University, India
     

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

Abstract Views: 225  |  PDF Views: 0

Authors

S. Minakshisundaram
Madras University, India

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.