AN INEQUALITY FOR A LINEAR DISCRETE OPERATOR INVOLVING CONVEX FUNCTIONS

被引：0

作者：

Holhos, Adrian ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Cluj Napoca, Romania

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2009年 / 3卷 / 03期

关键词：

linear discrete operator; convex functions; inequality; majorization;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the functional A[f] = Sigma(m)(k=1)a(k)f(z(k)), we give necessary and sufficient conditions over the real numbers z(k), such that, the inequality A[f] >= 0, holds for some classes of convex functions. Then, we deduce an inequality related to Alzer's inequality and a weighted majorization inequality.

引用

页码：383 / 393

页数：11