Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions. (18th July 2022)

• Record Type: Journal Article
• Authors: Xu, Wenbo; Imran, Muhammad; Yasin, Faisal; Jahangir, Nazia; Xia, Qunli
• Other Names: Ul-Haq Wasim Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-07-18
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7361558
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators.