Simpson's type integral inequalities for κ-fractional integrals and their applications

被引：40

作者：

Rashid, Saima ^{[1
,2
]}

Akdemir, Ahmet Ocak ^{[3
]}

Jarad, Fahd ^{[4
]}

Noor, Muhammad Aslam ^{[2
]}

Noor, Khalida Inayat ^{[2
]}

机构：

[1] Govt Univ Faisalabad, Dept Math, Faisalabad, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan

[3] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, Agri, Turkey

[4] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 04期

关键词：

Simpson's type inequality; s-preinvex functions; kappa-fractional integrals;

D O I：

10.3934/math.2019.4.1087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of kappa-fractional integrals. Additionally, by extraordinary choices of n and kappa, we give some diminished outcomes. Meanwhile, we also provide the inequalities for F-divergence measures and in probabilistic versions.

引用

页码：1087 / 1100

页数：14

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