Journal of Mathematical Inequalities Volume 1, Number 1 (2007), 127–136

SCHUR–CONVEX FUNCTIONS RELATED TO HADAMARD–TYPE INEQUALITIES

HUAN-NAN SHI

Abstract. The Schur-convexity on the upper and the lower limit of the integral for a mean of
the convex function is researched. As applications, a generalized logarithmic mean with a
parameter is obtained and a relevant double inequality that is a extension of the known inequality
is established.

Mathematics subject classification (2000): 26D15, 26A51.

Key words and phrases: Schur-convex function, inequality, Hadamard's inequality; generalized
logarithmic mean.

SCHUR–CONVEX FUNCTIONS RELATED.pdf

转载本文请联系原作者获取授权，同时请注明本文来自石焕南科学网博客。
链接地址：https://wap.sciencenet.cn/blog-3453835-1265913.html

上一篇：关于某些平均比的Schur-m-幂凸性
下一篇：一些双变量特殊平均差的SCHUR调和凸性