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

共 13 条

[1] New refinements of the Hadamard inequality on coordinated convex function [J].

Almutairi, Ahoud ;

Kilicman, Adem .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[2]

Dragomir S., 1999, Demonstr. Math, V32, P687, DOI [10.1515/dema-1999-0403, DOI 10.1515/dema-1999-0403]

[3] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[4]

Dragomir SS, 2003, Science direct working paper

[5]

Hudzik H., 1994, Aequationes Math, V48, P100, DOI DOI 10.1007/BF01837981

[6] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula [J].

Kirmaci, US .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :137-146

[7] New Hermite-Hadamard type integral inequalities for convex functions and their applications [J].

Mehrez, Khaled ;

Agarwal, Praveen .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 :274-285

[8]

Milovanovic G., 2014, Topics in Special Functions, VIII, P297

[9]

Mitrinovic M. S., 1985, Aequationes Math., V28, P229, DOI [DOI 10.1007/BF02189414, 10.1007/BF02189414]

[10] Some new Hermite-Hadamard type inequalities for s-convex functions and their applications [J].

Ozcan, Serap ;

Iscan, Imdat .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

← 1 2 →