Almost convergence and the Buck-Pollard property
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- by G. M. Petersen PDF
- Proc. Amer. Math. Soc. 11 (1960), 469-477 Request permission
References
- R. Creighton Buck and Harry Pollard, Convergence and summability properties of subsequences, Bull. Amer. Math. Soc. 49 (1943), 924–931. MR 9209, DOI 10.1090/S0002-9904-1943-08061-5
- J. D. Hill, Remarks on the Borel property, Pacific J. Math. 4 (1954), 227–242. MR 62244
- F. R. Keogh and G. M. Petersen, A universal Tauberian theorem, J. London Math. Soc. 33 (1958), 121–123. MR 92024, DOI 10.1112/jlms/s1-33.1.121
- G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167–190. MR 27868, DOI 10.1007/BF02393648
- G. G. Lorentz, Direct theorems on methods of summability, Canad. J. Math. 1 (1949), 305–319. MR 32023, DOI 10.4153/cjm-1949-028-6
- Ivan Niven, Irrational numbers, The Carus Mathematical Monographs, No. 11, Mathematical Association of America; distributed by John Wiley & Sons, Inc., New York, N.Y., 1956. MR 0080123
- G. M. Petersen, ‘Almost convergence’ and uniformly distributed sequences, Quart. J. Math. Oxford Ser. (2) 7 (1956), 188–191. MR 95812, DOI 10.1093/qmath/7.1.188
- Casper Goffman and G. M. Petersen, Submethods of regular matrix summability methods, Canadian J. Math. 8 (1956), 40–46. MR 75320, DOI 10.4153/CJM-1956-007-8
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 469-477
- MSC: Primary 40.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0111961-7
- MathSciNet review: 0111961