NEW WEIGHTED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE CONVEX FUNCTIONS

被引：3
|
作者：
Sarikaya, M. Z. [1 ]
Erden, S. [2 ]
机构：
[1] Univ Duzce, Fac Sci & Arts, Dept Math, Duzce, Turkey
[2] Univ Bartin, Fac Sci, Dept Math, Bartin, Turkey
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 01期
关键词：
Hermite-Hadamard inequality; Ostrowski inequality; Trapezoid inequality; convex function; Holder inequality; Rieman-Liouville integrals;
D O I：
10.5937/KgJMath1601015S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish several new weighted inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are Hermite-Hadamard-type inequalities involving fractional integrals. The results presented here would provide extensions of those given in earlier works.
引用
收藏
页码：15 / 33
页数：19
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