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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References | Similar Articles | Additional Information
- S. K. Basu, On the total relative strength of the Hölder and Cesàro methods, Proc. London Math. Soc. (2) 50 (1949), 447–462. MR 27870, DOI https://doi.org/10.1112/plms/s2-50.6.447
- S. K. Basu, On hypergeometric summability involving infinite limits, Proc. Amer. Math. Soc. 5 (1954), 226–238. MR 60613, DOI https://doi.org/10.1090/S0002-9939-1954-0060613-8
- S. K. Basu, On comparison of the total strength of some Hausdorff methods, Math. Z. 67 (1957), 303–309. MR 91363, DOI https://doi.org/10.1007/BF01258865
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Felix Hausdorff, Summationsmethoden und Momentfolgen. I, Math. Z. 9 (1921), no. 1-2, 74–109 (German). MR 1544453, DOI https://doi.org/10.1007/BF01378337
- Felix Hausdorff, Momentprobleme für ein endliches Intervall, Math. Z. 16 (1923), no. 1, 220–248 (German). MR 1544592, DOI https://doi.org/10.1007/BF01175684
- B. E. Rhoades, Total comparison among some totally regular Hausdorff methods, Math. Z. 72 (1959/60), 463–466. MR 116167, DOI https://doi.org/10.1007/BF01162969
- B. E. Rhoades, Some properties of totally coregular matrices, Illinois J. Math. 4 (1960), 518–525. MR 123122
- H. S. Wall, Continued fractions and totally monotone sequences, Trans. Amer. Math. Soc. 48 (1940), 165–184. MR 2642, DOI https://doi.org/10.1090/S0002-9947-1940-0002642-0 D. V. Widder, The Laplace transform, Princeton Univ. Press, Princeton, N. J., 1946.
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© Copyright 1963
American Mathematical Society