NEW GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS

被引：8
|
作者：
Mohammed, Pshtiwan Othman [1 ]
机构：
[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 02期
关键词：
Riemann-Liouville fractional integral; convex function; Hermite-Hadamard inequality; convex functions; trapezoid formula; HADAMARD-TYPE INEQUALITIES;
D O I：
10.7153/jmi-2021-15-38
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals (psi-Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.
引用
收藏
页码：511 / 519
页数：9
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