Almost convergence and the Buck-Pollard property

Author:
G. M. Petersen

Journal:
Proc. Amer. Math. Soc. **11** (1960), 469-477

MSC:
Primary 40.00

MathSciNet review:
0111961

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References | Similar Articles | Additional Information

**[1]**R. Creighton Buck and Harry Pollard,*Convergence and summability properties of subsequences*, Bull. Amer. Math. Soc.**49**(1943), 924–931. MR**0009209**, 10.1090/S0002-9904-1943-08061-5**[2]**J. D. Hill,*Remarks on the Borel property*, Pacific J. Math.**4**(1954), 227–242. MR**0062244****[3]**F. R. Keogh and G. M. Petersen,*A universal Tauberian theorem*, J. London Math. Soc.**33**(1958), 121–123. MR**0092024****[4]**G. G. Lorentz,*A contribution to the theory of divergent sequences*, Acta Math.**80**(1948), 167–190. MR**0027868****[5]**G. G. Lorentz,*Direct theorems on methods of summability*, Canadian J. Math.**1**(1949), 305–319. MR**0032023****[6]**Ivan Niven,*Irrational numbers*, The Carus Mathematical Monographs, No. 11, The Mathematical Association of America. Distributed by John Wiley and Sons, Inc., New York, N.Y., 1956. MR**0080123****[7]**G. M. Petersen,*‘Almost convergence’ and uniformly distributed sequences*, Quart. J. Math. Oxford Ser. (2)**7**(1956), 188–191. MR**0095812****[8]**Casper Goffman and G. M. Petersen,*Submethods of regular matrix summability methods*, Canad. J. Math.**8**(1956), 40–46. MR**0075320**

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DOI:
https://doi.org/10.1090/S0002-9939-1960-0111961-7

Article copyright:
© Copyright 1960
American Mathematical Society