Several new integral inequalities via Caputo fractional integral operators

被引：1
|
作者：
Ozdemir, M. Emin [1 ]
Butt, Saad Ihsan [2 ]
Ekinci, Alper [3 ]
Nadeem, Mehroz [2 ]
机构：
[1] Bursa Uludag Univ, Dept Math & Sci Educ, Bursa, Turkiye
[2] COMSATS Univ Islamabad, Lahore Campus, Islamabad, Pakistan
[3] Bandirma Onyedi Eylul Univ, Bandirma Vocat Sch, Balikesir, Turkiye
来源：
FILOMAT | 2023年 / 37卷 / 06期
关键词：
Convex function; Quasi-convex; s-convex; s-Godunova-Levin type; Caputo-Fractional integral; Hermite-Hadamard inequality; Holder inequality; CONVEX FUNCTIONS; HADAMARD;
D O I：
10.2298/FIL2306843E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish several new integral inequalities including Caputo fractional derivatives for quasi-convex, s-Godunova-Levin convex. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities such that Holder inequality, Power mean inequality and Weighted Holder inequality. This work is motivated by Farid et al in [17]. Especially we aim to obtain inequalities involving only right-sided Caputo-fractional derivative of order alpha.
引用
收藏
页码：1843 / 1854
页数：12
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