The Journal of the Indian Mathematical Society

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On a One-Sided Tauberian Theorem: A Further Note


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1 Ramanujan Institute of Mathematics, (Karaikudi), Madras, India
     

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My earlier note with the same title [3] was mainly about an extension of a theorem of Karamata on the Laplace- Abel transform to certain regular integral transforms Φ of a real function a(u) satisfying the classical one-sided condition,

a(u) u > - W, W > 0, for u > 1, and a(u) = 0 for u < 1. (1)


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  • On a One-Sided Tauberian Theorem: A Further Note

Abstract Views: 207  |  PDF Views: 0

Authors

C. T. Rajagopal
Ramanujan Institute of Mathematics, (Karaikudi), Madras, India

Abstract


My earlier note with the same title [3] was mainly about an extension of a theorem of Karamata on the Laplace- Abel transform to certain regular integral transforms Φ of a real function a(u) satisfying the classical one-sided condition,

a(u) u > - W, W > 0, for u > 1, and a(u) = 0 for u < 1. (1)