期刊论文详细信息
AIMS Mathematics | |
Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly (α,m)-convex functions | |
Hafsa Yasmeen1  Ghulam Farid1  Hijaz Ahmad2  Chahn Yong Jung3  | |
[1] 1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan;2. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan;3. Department of Business Administration, Gyeongsang National University Jinju 52828, Korea; | |
关键词: (α; m)-convex function; strongly (α; hadamard inequality; riemann-liouville fractional integrals; | |
DOI : 10.3934/math.2021661 | |
来源: DOAJ |
【 摘 要 】
In this paper Hadamard type inequalities for strongly (α,m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities. The established results are further connected with fractional integral inequalities for Riemann-Liouville fractional integrals of convex, strongly convex and strongly m-convex functions. By using two fractional integral identities some more Hadamard type inequalities are proved.
【 授权许可】
Unknown