A comprehensive study on Milne-type inequalities with tempered fractional integrals

被引：2

作者：

Haider, Wali ^{[1
]}

Budak, Huseyin ^{[2
]}

Shehzadi, Asia ^{[1
]}

Hezenci, Fatih ^{[2
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

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

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

关键词：

Inequalities of Milne type; Fractional version; Tempered fractional integrals; Convex functions; DIFFERENTIABLE MAPPINGS;

D O I：

10.1186/s13661-024-01855-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.

引用

页数：16

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