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

页码：15 / 33

页数：19

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