Some results on integral inequalities via Riemann-Liouville fractional integrals

被引：6

作者：

Li, Xiaoling ^{[1
]}

Qaisar, Shahid ^{[2
]}

Nasir, Jamshed ^{[3
]}

Butt, Saad Ihsan ^{[3
]}

Ahmad, Farooq ^{[4
,5
]}

Bari, Mehwish ^{[6
]}

Farooq, Shan E. ^{[7
]}

机构：

[1] Chengdu Univ, Sch Informat Sci & Engn, Chengdu, Sichuan, Peoples R China

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

[3] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan

[4] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore, Singapore

[5] Punjab Higher Educ Dept, Lahore, Pakistan

[6] NCBA&E, Dept Math, Bahawalpur, Pakistan

[7] Govt Coll Univ, Dept Math, Lahore, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Simpson's inequality; Convex functions; Power-mean inequality; Riemann-Liouville fractional integral; DIFFERENTIABLE MAPPINGS; HERMITE-HADAMARD; REAL NUMBERS;

D O I：

10.1186/s13660-019-2160-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In current continuation, we have incorporated the notion of s-(alpha,m)-convex functions and have established new integral inequalities. In order to generalize Hermite-Hadamard-type inequalities, some new integral inequalities of Hermite-Hadamard and Simpson type using s - (alpha, m)-convex function via Riemann-Liouville fractional integrals are obtained that reproduce the results presented by (Appl. Math. Lett. 11(5):91-95, 1998; Comput. Math. Appl. 47(2-3): 207-216, 2004; J. Inequal. Appl. 2013:158, 2013). Applications to special means are also provided.

引用

页数：11

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