Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-15T07:27:53.035Z Has data issue: false hasContentIssue false

Integral inequalities for increasing functions

Published online by Cambridge University Press:  24 October 2008

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

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
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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), 183185.Google Scholar
(2)Ahlswede, R. and Daykin, D. E.Inequalities for a pair of maps S × SS with S a finite set. Math. Z. 165 (1979), 267289.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), 466484.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), 485495.Google Scholar