Integral inequalities for concave functions with applications to special functions-Reference-Cited by-同舟云学术

Integral inequalities for concave functions with applications to special functions

Published:1991 Issue:1-2 Volume:118 Page:173-192
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Brenner J. L.,Alzer Horst

Abstract

SynopsisIn this paper we prove refinements, extensions and counterparts of known integral inequalities for concave functions. Furthermore, we apply our results to find new inequalities for some special functions and mean values.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference42 articles.

1. Notes on convex functions IV: On Hadamard's inequalities for weighted arithmetic means;Vasić;Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1980

2. Notes on convex functions I: A new proof of Hadamard's inequalities;Vasić;Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1977

3. Some complements to the paper “On an inequality for convex functions”;Vasić;Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1976

4. On an inequality for convex functions;Vasić;Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1974

5. On an inequality for convex functions;Vasi;Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1972

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