The Journal of the Indian Mathematical Society

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On a Comparison between the Cesaro and Borel Methods of Summability


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1 Ramanujan Institute of Mathematics, Madras, India
     

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It is well known that the Abel method of summability is strictly stronger than the Cesaro method Cr for every r, and that the Borel's (exponential) method is likewise strictly stronger than the Euler-Knopp method Eα for every α (0 < a ≤ 1).
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  • On a Comparison between the Cesaro and Borel Methods of Summability

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Authors

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

Abstract


It is well known that the Abel method of summability is strictly stronger than the Cesaro method Cr for every r, and that the Borel's (exponential) method is likewise strictly stronger than the Euler-Knopp method Eα for every α (0 < a ≤ 1).