The Journal of the Indian Mathematical Society

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On a Theorem Connecting Borel and Cesaro Summabilities


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1 Ramanujan Institute of Mathematics, University of Madras, India
     

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R. D. Lord has generalized a classical theorem of Hardy and Little wood ([1], Theorem 156) and shown ([3], Theorem 5) that a sequence, summable by a method which is implied by Borel's, is summable also by Cesaro's method of a certain nonnegative order under an appropriate Tauberian condition.
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  • On a Theorem Connecting Borel and Cesaro Summabilities

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Authors

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

Abstract


R. D. Lord has generalized a classical theorem of Hardy and Little wood ([1], Theorem 156) and shown ([3], Theorem 5) that a sequence, summable by a method which is implied by Borel's, is summable also by Cesaro's method of a certain nonnegative order under an appropriate Tauberian condition.