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
收藏
页码：269 / 290
页数：22
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