Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities. (8th June 2022)

• Record Type: Journal Article
• Authors: Zhang, Xiujun; Farid, Ghulam; Yasmeen, Hafsa; Nonlaopon, Kamsing
• Other Names: Gurefe Yusuf Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-06-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3723867
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α, h − m -p -convex functions. These inequalities provide some general formulas from which one can get associated inequalities for various types of exponentially convex and strongly convex functions. Refinements of well-known inequalities are also deducible from the established theorems.