On a One-Sided Tauberian Theorem

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Authors

  • Ramanujan Institute of Mathematics, Madras ,IN

DOI:

https://doi.org/10.18311/jims/1952/17046

Abstract

The principal object of this note is to generalize a one-sided Tauberian theorem of Karamata [3] for the Abel transform of a series. Implicit in the proof of the generalization there is a similar generalization of another one-sided Tauberian theorem, stated without proof by Vijayaraghavan [7, Theorem 8] for the Abel transform.