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On a One-Sided Tauberian Theorem


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1 Ramanujan Institute of Mathematics, Madras, India
     

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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.
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  • On a One-Sided Tauberian Theorem

Abstract Views: 197  |  PDF Views: 0

Authors

C. T. Rajagopal
Ramanujan Institute of Mathematics, Madras, India

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.