On the equiconvergence between two Noerlund transformations
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- by Shimshon Zimering PDF
- Proc. Amer. Math. Soc. 19 (1968), 263-267 Request permission
References
- Richard G. Cooke, Infinite Matrices and Sequence Spaces, Macmillan & Co., Ltd., London, 1950. MR 0040451
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Shimshon Zimering, On a Mercerian theorem and its application to the equiconvergence of Cesàro and Riesz transforms, Publ. Inst. Math. (Beograd) (N.S.) 1(15) (1962), 83–91 (1962). MR 176268 E. W. Hobson, The theory of functions of a real variable, Vol. II, 2nd ed., Cambridge Univ. Press, New York, 1926. R. G. Cooke, On mutual and regular $T$-limits, Proc. London Math. Soc. (2) 41 (1936), 114, 117-119. —, An extension of some recent results on mutual consistency of regular $T$-limits, J. London Math. Soc. 12 (1937), 98-105.
- Ralph Palmer Agnew, Equiconvergence of Cesàro and Riesz transforms of series, Duke Math. J. 22 (1955), 451–460. MR 71560 G. M. Ortner, Equiconvergence of Riesz and Cesáro transforms of series, Dissertation abstracts 26 (1963), 1076.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 263-267
- MSC: Primary 40.31
- DOI: https://doi.org/10.1090/S0002-9939-1968-0223784-6
- MathSciNet review: 0223784