Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals

被引：92

作者：

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmed ^{[1
]}

Kirane, Mokhtar ^{[1
,2
]}

Torebek, Berikbol T. ^{[3
,4
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ La Rochelle, Pole Sci & Technol, Fac Sci, LoSIE, Ave M Crepeau, F-17042 La Rochelle, France

[3] Al Farabi Kazakh Natl Univ, Al Farabi Ave 71, Alma Ata 050040, Kazakhstan

[4] Inst Math & Math Modeling, Pushkin St 125, Alma Ata 050010, Kazakhstan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 353卷

关键词：

Hermite-Hadamard inequality; Hermite-Hadamard-Fejer inequality; Dragomir-Agarwal inequality; Pachpatte inequalities; New fractional integral operator;

D O I：

10.1016/j.cam.2018.12.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel. These results allow us to obtain a new class of functional inequalities which generalizes known inequalities involving convex functions. Furthermore, the obtained results may act as a useful source of inspiration for future research in convex analysis and related optimization fields. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：120 / 129

页数：10

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