A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex

被引：3

作者：

Hezenci, Fatih ^{[1
]}

Budak, Huseyin ^{[1
]}

机构：

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

来源：

FILOMAT | 2023年 / 37卷 / 12期

关键词：

Simpson type inequalities; Convex function; Fractional integrals; Third derivative; INTEGRAL-INEQUALITIES;

D O I：

10.2298/FIL2312715H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, equality is established for Riemann-Liouville fractional integral. With the aid of this equality, it is proved some fractional Simpson-like type inequalities for functions whose third derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral. Furthermore, the mathematical example is presented to verify the newly established inequality.

引用

页码：3715 / 3724

页数：10

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