Extension of Jensen’s inequality to affine combinations

Journal of inequalities and applications

Zlatko Pavić¹ 

关键词: convex combination;    affine combination;    convex function;    Jensen’s inequality;   

DOI  :  10.1186/1029-242X-2014-298

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The article provides the generalization of Jensen’s inequality for convex functions on the line segments. The main and preliminary inequalities are expressed in discrete form using affine combinations that can be reduced to convex combinations. The resulting quasi-arithmetic means are used to extend the two well-known inequalities. MSC:26A51, 26D15.

【 授权许可】

CC BY