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.

引用

页数：19

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