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.

引用

页数：25

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