Jensen's inequalities with multiple variables on time scales

被引：0
|
作者：
Wong, FH [1 ]
机构：
[1] Natl Taipei Teachers Coll, Dept Math, Taipei 10659, Taiwan
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2004年 / 7卷 / 04期
关键词：
time scales; Jensen's inequality; convex and delta differentiable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Jensen inequality is of great interest in differential and difference equations, and other areas of mathematics. The purpose of this paper is to generalize the Jensen inequality to more general cases on time scales as follows: F(integral(a)(b)\h(t)\g(1)(t)Deltat/integral(a)(b)\h(t)\Deltat,(...),integral(a)(b)\h(t)\g(n)(t)Deltat/integral(a)(b)\h(t)\Deltat) less than or equal to integral(a)(b)\h(t)\F(g(1)(t),(...), g(n)(t))Deltat/integral(a)(b)\h(t)\Deltat.
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收藏
页码：505 / 510
页数：6
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