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A Tauberian theorem for strong Riesz summability


Author: Pramila Srivastava
Journal: Proc. Amer. Math. Soc. 10 (1959), 540-544
MSC: Primary 40.00
DOI: https://doi.org/10.1090/S0002-9939-1959-0108669-2
MathSciNet review: 0108669
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  • [1] A. V. Boyd and J. M. Hyslop, A definition for strong Rieszian summability and its relationship to strong Cesàro summability, Proc. Glasgow Math. Assoc. vol. 1 (1952) pp. 34-39. MR 0051330 (14:463d)
  • [2] K. Chandrasekharan and S. Minakshisundaram, Typical means, Oxford, 1952. MR 0055458 (14:1077c)
  • [3] G. H. Hardy and M. Riesz, The general theory of Dirichlet's series, Cambridge, 1915.
  • [4] P. Srivastava, On strong Rieszian summability of infinite series, Proc. Nat. Inst. Sci. India vol. 23 A (1957) pp. 58-71. MR 0096057 (20:2555)
  • [5] C. E. Winn, On strong summability for any positive order, Math. Z. vol. 37 (1933) pp. 481-492. MR 1545409

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DOI: https://doi.org/10.1090/S0002-9939-1959-0108669-2
Article copyright: © Copyright 1959 American Mathematical Society

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