New fractional inequalities of midpoint type via s-convexity and their application

被引：13
|
作者：
Almutairi, Ohud [1 ]
Kilicman, Adem [2 ,3 ]
机构：
[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin, Saudi Arabia
[2] Univ Putra Malaysia, Dept Math, Serdang, Malaysia
[3] Univ Putra Malaysia, Inst Math Res, Serdang, Malaysia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
关键词：
Convex functions; Hermite-Hadamard inequality; Holder's inequality; Special means; Midpoint formula; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;
D O I：
10.1186/s13660-019-2215-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we introduced new integral inequalities of Hermite-Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.
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收藏
页数：19
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