Fractional midpoint-type inequalities for twice-differentiable functions

被引：1

作者：

Hezenci, Fatih ^{[1
]}

Bohner, Martin ^{[2
]}

Budaka, Huseyin ^{[1
]}

机构：

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

[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO USA

来源：

FILOMAT | 2023年 / 37卷 / 24期

关键词：

Hermite-Hadamard inequality; Midpoint inequality; Fractional integral operators; Convex function; Twice differentiable function; HADAMARD-TYPE INEQUALITIES; INTEGRAL-INEQUALITIES; REAL NUMBERS; MAPPINGS;

D O I：

10.2298/FIL2324131H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research article, we obtain an identity for twice differentiable functions whose second derivatives in absolute value are convex. By using this identity, we prove several left Hermite-Hadamard-type inequalities for the case of Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems.

引用

页码：8131 / 8144

页数：14

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