Some new Hermite-Hadamard type inequalities for s-convex functions and their applications

被引：68

作者：

Ozcan, Serap ^{[1
]}

Iscan, Imdat ^{[2
]}

机构：

[1] Kirklareli Univ, Fac Art & Sci, Dept Math, Kirklareli, Turkey

[2] Giresun Univ, Fac Art & Sci, Dept Math, Giresun, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

Convex function; s-convex function; Hermite-Hadamard type inequality; Holder inequality; Holder-iscan inequality; Integral inequalities; Trapezoidal formula; Special means;

D O I：

10.1186/s13660-019-2151-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new integral inequalities of Hermite-Hadamard type for s-convex functions by using the Holder-iscan integral inequality. We also compare our new results with the known results and show that the results which we obtained are better than the known results. Finally, we give some applications to trapezoidal formula and to special means.

引用

页数：11

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