Inequalities for unified integral operators of generalized refined convex functions

AIMS Mathematics

Moquddsa Zahra¹  Muhammad Ashraf¹  Ghulam Farid²  Kamsing Nonlaopon³ 

[1] 1. Department of Mathematics, University of Wah, Wah Cantt, Pakistan;2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan;3. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;

关键词: refined (α;    h−m)-convex function;    integral operators;    fractional integrals;    unified integral operators;    bounds;   

DOI  :  10.3934/math.2022346

来源: DOAJ

【 摘 要 】

In this article, the bounds of unified integral operators are studied by using a new notion called refined (α,h−m)−p-convex function. The upper and lower bounds in the form of Hadamard inequality are established. From the results of this paper, refinements of well-known inequalities can be obtained by imposing additional conditions.

【 授权许可】

Unknown