Some complements to the Jensen and Chebyshev inequalities and a problem of W. Walter-Reference-Cited by-同舟云学术

Some complements to the Jensen and Chebyshev inequalities and a problem of W. Walter

Published:2001-02-15 Issue:9 Volume:129 Page:2671-2678
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Malamud S.

Abstract

Motivated by an integral inequality conjectured by W. Walter, we prove some general integral inequalities on finite intervals of the real line. In addition to supplying new proofs of Walter’s conjecture, the general inequalities furnish a reverse Jensen inequality under appropriate conditions and provide generalizations of Chebyshev’s integral inequality.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-09/S0002-9939-01-05849-X/S0002-9939-01-05849-X.pdf

Reference4 articles.

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2. Yu. V. Egorov, On the best constant in a Poincaré-Sobolev inequality, Operator Theory: Advances and Applications (to appear).

3. W. Walter, Problem: An integral inequality by Bushell and Okrasínski, Intern. series of Numerical Mathematics Vol. 103 (1992).

4. An integral inequality of convolution type;Walter, W.;Aequationes Math.,1993

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