On an upper bound for Sherman’s inequality

Journal of inequalities and applications

Slavica Ivelić¹ 

关键词: Sherman theorem;    Sherman inequality;    Jensen inequality;    Abel-Gontscharoff interpolating polynomial;    Ostrowski type inequality;    26D15;    26D20;    26D99;   

DOI  :  10.1186/s13660-016-1091-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalized Sherman’s inequality, is given with some applications. As easy consequences, some new bounds for Jensen’s inequality can be derived.

【 授权许可】

CC BY