ON HERMITE-HADAMARD TYPE INEQUALITIES FOR F-CONVEX FUNCTION

被引：3
|
作者：
Budak, H. [1 ]
Tunc, T. [1 ]
Sarikaya, M. Z. [1 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math Duzce, Duzce, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 01期
关键词：
Hermite-Hadamard inequality; F-convex; midpoint inequality; trapezoid inequality; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;
D O I：
10.18514/MMN.2019.2436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we firstly give some properties the family F and F-convex function which are defined by B. Samet. Then, we obtain some midpoint inequalities for differentiable function. Moreover, we establish some midpoint and trapezoid type inequalities for function whose second derivatives in absolute value are F-convex.
引用
收藏
页码：169 / 191
页数：23
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