Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s, m-Convex Functions. (7th August 2020)

• Record Type: Journal Article
• Authors: Guo, Shuya; Chu, Yu-Ming; Farid, Ghulam; Mehmood, Sajid; Nazeer, Waqas
• Other Names: Leiva Hugo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-08-07
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/2410385
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s, m -convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s -convex, m -convex, s, m -convex, exponentially convex, exponentially s -convex, and convex functions.