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Transactions of the American Mathematical Society

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A sufficient condition for total monotonicity


Author: B. E. Rhoades
Journal: Trans. Amer. Math. Soc. 107 (1963), 309-319
MSC: Primary 40.30
DOI: https://doi.org/10.1090/S0002-9947-1963-0147810-8
MathSciNet review: 0147810
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  • [1] S. K. Basu, On the total relative strength of the Hölder and Cesàro methods, Proc. London Math. Soc. 50 (1948-1949), 447-462. MR 0027870 (10:368a)
  • [2] -, On hypergeometric summability involving infinite limits, Proc. Amer. Math. Soc. 5 (1954), 226-238. MR 0060613 (15:697h)
  • [3] -, On comparison of the total strength of some Hausdorff methods, Math. Z. 67 (1957), 303-309. MR 0091363 (19:955d)
  • [4] G. Hardy, Divergent series, Oxford, 1949. MR 0030620 (11:25a)
  • [5] F. Hausdorff, Summationsmethoden und Momentfolgen, Math. Z. 9 (1921), 74-109. (P. 95). MR 1544453
  • [6] -, Über das Momentproblem für ein endliches interval, Math. Z. 16 (1923), 220-248. MR 1544592
  • [7] B. E. Rhoades, Total comparison among some totally regular Hausdorff methods, Math. Z. 72 (1960), 463-466. MR 0116167 (22:6962)
  • [8] -, Some properties of totally coregular matrices, Illinois J. Math. 4 (1960), 518-525. 9. -, Hausdorff summability methods, Trans. Amer. Math. Soc. 101 (1961), 396-425. MR 0123122 (23:A453)
  • [10] H. S. Wall, Continued fractions and totally monotone sequences, Trans. Amer. Math. Soc. 48 (1940), 165-184. MR 0002642 (2:90c)
  • [11] D. V. Widder, The Laplace transform, Princeton Univ. Press, Princeton, N. J., 1946.

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DOI: https://doi.org/10.1090/S0002-9947-1963-0147810-8
Article copyright: © Copyright 1963 American Mathematical Society

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