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
收藏
页码：3275 / 3294
页数：20
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