The Journal of the Indian Mathematical Society

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The Problem of "Total Translativity" for Hausdorff Methods


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1 Ramanujan Institute of Mathematics, Madras, India
     

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The problem of the total translativity of Holder and Cesaro methods has been considered earlier by Kuttner [3]. In the present note we are concerned with the more general problem of the total translativity of Hausdorff methods and we prove that a Hausdorff method, satisfying suitable restrictions, is totally translative if, and only if, it is the Cesaro method or a trivial modification of that method.
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  • The Problem of "Total Translativity" for Hausdorff Methods

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Authors

M. S. Ramanujan
Ramanujan Institute of Mathematics, Madras, India

Abstract


The problem of the total translativity of Holder and Cesaro methods has been considered earlier by Kuttner [3]. In the present note we are concerned with the more general problem of the total translativity of Hausdorff methods and we prove that a Hausdorff method, satisfying suitable restrictions, is totally translative if, and only if, it is the Cesaro method or a trivial modification of that method.