A NOTE ON SCHUR-CONVEX FUNCTIONS

In this note it is proved that the integral arithmetic mean of a convex function is a Schur-convex function. Applications to Schur-convexity of logarithmic mean and gamma functions are given.

Saved in:
Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2000-09, Vol.30 (3), p.853-856
Main Authors: ELEZOVIĆ, N., PEČARIĆ, J.
Format: Article
Language:English
Subjects:
26D15
digamma function
inequality
Mathematical functions
Mathematical inequalities
Mathematical theorems
Schur-convex functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note it is proved that the integral arithmetic mean of a convex function is a Schur-convex function. Applications to Schur-convexity of logarithmic mean and gamma functions are given.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1021477248