Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral

被引：1

作者：

Butt, Saad Ihsan ^{[1
]}

Bayraktar, Bahtiyar ^{[2
]}

Valdes, Juan E. Napoles ^{[3
,4
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Bursa Uludag Univ, Gorukle Campus, Bursa, Turkiye

[3] UNNE, FaCENA, Ave Libertad 5450, RA-3400 Corrientes, Argentina

[4] UTN FRRE, French 414, RA-3500 Resistencia, Chaco, Argentina

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2023年 / 55卷 / 7-8期

关键词：

Hermite-Hadamard inequality; F-convex function; Young inequality; Holder's inequality; power mean inequality; Katugampola fractional integral; CONVEX-FUNCTIONS; DERIVATIVES;

D O I：

10.52280/pujm.2023.55(7-8)02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present the midpoint and trapezoid inequalities for an F-convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping Phi whose second derivatives in the absolute values are F-convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.

引用

页码：269 / 290

页数：22

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