Hadamard Inequalities for Strongly α, m-Convex Functions via Caputo Fractional Derivatives. (6th January 2021)

• Record Type: Journal Article
• Authors: Dong, Yanliang; Zeb, Muhammad; Farid, Ghulam; Bibi, Sidra
• Other Names: Masiello Antonio Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-01-06
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6691151
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we present two versions of the Hadamard inequality for α, m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m -convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.