Inclusion relations among some methods of summability

Schoonmaker, N. James

doi:10.1090/S0002-9939-1956-0076060-0

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)

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Inclusion relations among some methods of summability
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by N. James Schoonmaker

Proc. Amer. Math. Soc. 7 (1956), 102-108

DOI: https://doi.org/10.1090/S0002-9939-1956-0076060-0

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References

G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
W. Meyer-König, Untersuchungen über einige verwandte Limitierungsverfahren, Math. Z. 52 (1949), 257–304 (German). MR 32021, DOI 10.1007/BF02230694
Ralph Palmer Agnew, Euler transformations, Amer. J. Math. 66 (1944), 313–338. MR 10618, DOI 10.2307/2371990

Relations among the Weierstrass methods of summability

P. Vermes, Series to series transformations and analytic continuation by matrix methods, Amer. J. Math. 71 (1949), 541–562. MR 30015, DOI 10.2307/2372347