The Journal of the Indian Mathematical Society

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On the Translativity of Hausdorff and Some Related Methods of Summability


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1 Ramanujan Institute of Mathematics, Madras, India
     

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The general problem of translativity for Hausdorff methods (H, μn) has been studied by Agnew [1] and recently by Kuttner [7] who has obtained (i) a set of necessary conditions, and (ii) a set of sufficient conditions, for translativity; Kuttner's conditions are all on the Hausdorff matrix and he makes no restrictions on the sequences involved.
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  • On the Translativity of Hausdorff and Some Related Methods of Summability

Abstract Views: 230  |  PDF Views: 0

Authors

M. R. Parameswaran
Ramanujan Institute of Mathematics, Madras, India

Abstract


The general problem of translativity for Hausdorff methods (H, μn) has been studied by Agnew [1] and recently by Kuttner [7] who has obtained (i) a set of necessary conditions, and (ii) a set of sufficient conditions, for translativity; Kuttner's conditions are all on the Hausdorff matrix and he makes no restrictions on the sequences involved.