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

页码：511 / 519

页数：9

共 32 条

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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) :2314-2324

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