Bounds of a Unified Integral Operator via Exponentially s, m-Convexity and Their Consequences. (22nd May 2020)

• Record Type: Journal Article
• Authors: Hu, Yi; Farid, Ghulam; Zijiang, ; Mahreen, Kahkashan
• Other Names: Sugimoto Mitsuru Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-05-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/3530591
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s, m -convex functions. The resulting bounds provide compact formulas for the bounds of associated fractional and conformable integral operators. Several Hadamard-type inequalities have been produced from a compact version for unified integral operators for exponentially s, m -convex functions.