Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions

被引：1

作者：

Yan, Tao ^{[1
]}

Farid, Ghulam ^{[2
]}

Yasmeen, Hafsa ^{[2
]}

Shim, Soo Hak ^{[3
]}

Jung, Chahn Yong ^{[4
]}

机构：

[1] Chengdu Univ, Sch Comp Sci, Chengdu 610106, Peoples R China

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock 43600, Pakistan

[3] Chonnam Natl Univ, Dept Refrigerat & Air Conditioning Engn, Yeosu 59626, South Korea

[4] Gyeongsang Natl Univ, Dept Business Adm, Jinju 52828, South Korea

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 03期

关键词：

Riemann-Liouville integrals; Hadamard inequality; strongly convex function; convex; function; HADAMARD TYPE INEQUALITIES; (ALPHA; (S; M)-CONVEX; OPERATORS;

D O I：

10.3390/fractalfract6030168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of mathematical inequalities. This paper aims to investigate the Hadamard type inequalities for a generalized class of functions namely strongly (alpha, h - m) - p-convex functions by using Riemann-Liouville fractional integrals. The results established in this paper give refinements of various well-known inequalities which have been published in the recent past.

引用

页数：17