On an upper bound for Sherman’s inequality

Journal of Inequalities and Applications

卷:2016

Naveed Latif¹  Slavica Ivelić Bradanović²  Josip Pečarić³ 

[1] Department of Mathematics, Govt. College University;

[2] Faculty of Civil Engineering, Architecture And Geodesy, University of Split;

[3] Faculty of Textile Technology Zagreb, University of Zagreb;

关键词: Sherman theorem;    Sherman inequality;    Jensen inequality;    Abel-Gontscharoff interpolating polynomial;    Ostrowski type inequality;   

DOI  :  10.1186/s13660-016-1091-3

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown