Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly (α,m)-convex functions

AIMS Mathematics

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