Convergence-preservation criteria for a generalized Hausdorff mean.

Leininger, C. W.

doi:10.1090/S0002-9939-1969-0234164-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Convergence-preservation criteria for a generalized Hausdorff mean.
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Proc. Amer. Math. Soc. 20 (1969), 97-100 Request permission

References

J. P. Brannen, Concerning Hausdorff matrices and absolutely convergent sequences, Proc. Amer. Math. Soc. 15 (1964), 114–123. MR 159158, DOI 10.1090/S0002-9939-1964-0159158-2
G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
Ralph E. Lane, The integral of a function with respect to a function, Proc. Amer. Math. Soc. 5 (1954), 59–66. MR 59346, DOI 10.1090/S0002-9939-1954-0059346-3
C. W. Leininger, Some properties of a generalized Hausdorff mean, Proc. Amer. Math. Soc. 20 (1969), 88–96. MR 234163, DOI 10.1090/S0002-9939-1969-0234163-0