Some New Inequalities of Simpson's Type for s-convex Functions via Fractional Integrals

被引：52

作者：

Chen, Jianhua ^{[1
,2
]}

Huang, Xianjiu ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

FILOMAT | 2017年 / 31卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Simpson's type; s-convex functions; fractional integrals; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE; EQUATION;

D O I：

10.2298/FIL1715989C

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 inequalities of Simpson's type based on s-convexity via fractional integrals. Our results generalize the results obtained by Sarikaya et al. [1].

引用

页码：4989 / 4997

页数：9

共 21 条

[1] Anastassiou G., 2009, J. Inequal. Pure Appl. Math., V10, P6
[2] [Anonymous], 2010, NONL SCI LETT
[3] [Anonymous], ARXIV10051167V1
[4] On positive solutions of a nonlocal fractional boundary value problem
Bai, Zhanbing
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 916 - 924
[5] Belarbi S., 2009, J. Inequal. Pure Appl. Math., V10, P1
[6] Breckner W.W., 1978, PUBL I MATH, V23, P13
[7] Chen JH, 2016, J COMPUT ANAL APPL, V20, P374
[8] Infinitely many solutions for boundary value problems arising from the fractional advection dispersion equation
Chen, Jing
Tang, Xian Hua
[J]. APPLICATIONS OF MATHEMATICS, 2015, 60 (06) : 703 - 724
[9] Chen J, 2013, DYNAM SYST APPL, V22, P157
[10] Chen J, 2013, B MALAYS MATH SCI SO, V36, P1083

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