Inequalities with parameters for twice-differentiable functions involving Riemann-Liouville fractional integrals

被引：0

作者：

Hezenci, Fatih ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye

来源：

FILOMAT | 2024年 / 38卷 / 09期

关键词：

Hermite-Hadamard inequality; Simpson inequality; Fractional integral operators; Convex function; Twice differentiable function; MIDPOINT-TYPE INEQUALITIES; HADAMARD-TYPE INEQUALITIES; HERMITE-HADAMARD; REAL NUMBERS; SIMPSON TYPE; MAPPINGS;

D O I：

10.2298/FIL2409275H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is given an equality for twice-differentiable functions whose second derivatives in absolute value are convex. By using this equality, it is established several left and right Hermite- Hadamard type inequalities and Simpson type inequalities for the case of Riemann-Liouville fractional integral. Namely, midpoint, trapezoid and also Simpson type inequalities are obtained for Riemann- Liouville fractional integral by using special cases of main results.

引用

页码：3275 / 3294

页数：20

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