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Integral inequalities for increasing functions

Published online by Cambridge University Press:  24 October 2008

Rudolf Ahlswede  and
David E. Daykin
Rudolf Ahlswede
Affiliation:
Universität Bielefeld, Germany
David E. Daykin
Affiliation:
University of Reading
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Abstract

For numbers of increasing real functions f(x) with new integral inequalities. They generalize classical results. The proofs are short and simple being based on sequences.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 391 - 394
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

(1)Ahlswede, R. and Daykin, D. E.An inequality for the weights of two families of sets, their unions and intersections. Z. Wahrscheinlichkeitslheorie und Verw. Gebeite 43 (1978), 183–185.Google Scholar
(2)Ahlswede, R. and Daykin, D. E.Inequalities for a pair of maps S × S → S with S a finite set. Math. Z. 165 (1979), 267–289.CrossRefGoogle Scholar
(3)Hardy, G. H., Littlewood, J. E. and PóLya, G.Inequalities (Cambridge University Press, 1959).Google Scholar
(4)Kelley, D. G. and Sherman, S.eneral Griffith's inequalities on correlations in Ising ferromagnets. J. Math. Phys. 9 (1968), 466–484.CrossRefGoogle Scholar
(5)Seymour, P. D. and Welsh, D. J. A.Combinatorial applications of an inequality from statistical mechanics. Math. Proc. Cambridge Philos. Soc. 77 (1975), 485–495.Google Scholar