Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions

被引：0
|
作者：
Farid, Ghulam [1 ]
Kwun, Young Chel [2 ]
Yasmeen, Hafsa [1 ]
Akkurt, Abdullah [3 ]
Kang, Shin Min [4 ,5 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Punjab, Pakistan
[2] Dong A Univ, Dept Math, Busan 49315, South Korea
[3] Kahramanmaras Sutcu Imam Univ, Fac Sci & Arts, Dept Math, TR-46100 Kahramanmaras, Turkey
[4] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea
[5] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
(h - m)-convex function; Strongly (h - m)- convex function; (alpha; h-m)-convex function; Strongly; Hadamard inequality; Riemann-Liouville fractional integrals; HERMITE-HADAMARD INEQUALITY; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;
D O I：
10.1186/s13662-021-03548-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new integral inequalities for strongly (alpha, h - m)- cony ex functions via generalized Riemann-Liouville fractional integrals are established. The outcomes of this paper provide refinements of some fractional integral inequalities for strongly convex, strongly m-convex, strongly (alpha, m)-convex, and strongly (h - m)-convex functions. Also, the refinements of error estimations of these inequalities are obtained by using two fractional integral identities. Moreover, using a parameter substitution and a constant multiplier, k-fractional versions of established inequalities are also given.
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页数：25
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