Generalized Riemann-Liouville k-Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

被引：103

作者：

Kwun, Young Chel ^{[1
]}

Farid, Ghulum ^{[2
]}

Nazeer, Waqas ^{[3
]}

Ullah, Sami ^{[4
]}

Kang, Shin Min ^{[5
,6
,7
]}

机构：

[1] Dong A Univ, Dept Math, Busan 49315, South Korea

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock 43600, Pakistan

[3] Univ Educ, Div Sci & Technol, Lahore 54000, Pakistan

[4] Air Univ, Dept Math, Islamabad 44000, Pakistan

[5] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea

[6] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea

[7] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

来源：

IEEE ACCESS | 2018年 / 6卷

关键词：

Fractional inequalities; Hadamard inequality; Ostrowski inequality; Riemann-Liouville fractional integrals; Generalized fractional integrals; M-CONVEX FUNCTIONS;

D O I：

10.1109/ACCESS.2018.2878266

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis. The objective of this paper is to define a more general form of Riemann-Liouville k-fractional integrals with respect to an increasing function, which are used to obtain fractional integral inequalities of Ostrowski type. A simple and straightforward approach is followed to establish these inequalities. The applications of established results are also briefly discussed and succeeded to get bounds of some fractional Hadamard inequalities.

引用

页码：64946 / 64953

页数：8

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