Some inclusion relations between matrices compounded from Cesaro matrices
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- by A. J. White PDF
- Trans. Amer. Math. Soc. 124 (1966), 558-568 Request permission
References
- Ralph Palmer Agnew, Inclusion relations among methods of summability compounded from given matrix methods, Ark. Mat. 2 (1952), 361–374. MR 51945, DOI 10.1007/BF02591502
- Ralph Palmer Agnew, A simple sufficient condition that a method of summability be stronger than convergence, Bull. Amer. Math. Soc. 52 (1946), 128–132. MR 14488, DOI 10.1090/S0002-9904-1946-08522-5
- D. Borwein, Theorems on some methods of summability, Quart. J. Math. Oxford Ser. (2) 9 (1958), 310–316. MR 101430, DOI 10.1093/qmath/9.1.310
- L. S. Bosanquet, Note on convergence and summability factors. III, Proc. London Math. Soc. (2) 50 (1949), 482–496. MR 27872, DOI 10.1112/plms/s2-50.7.482
- 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
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Karl Zeller, Theorie der Limitierungsverfahren, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 15, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958 (German). MR 0118990 A. Zygmund, Trigonometric series. I, 2nd. ed. Cambridge Univ. Press, New York, 1960.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 558-568
- MSC: Primary 40.32
- DOI: https://doi.org/10.1090/S0002-9947-1966-0200642-7
- MathSciNet review: 0200642