Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions. (22nd April 2021)

• Record Type: Journal Article
• Authors: Feng, Xue; Feng, Baolin; Farid, Ghulam; Bibi, Sidra; Xiaoyan, Qi; Wu, Ze
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6642655
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m -convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities for m -convex and convex functions. Also, error estimations of Caputo fractional derivative Hadamard inequalities are proved and show that these are better than error estimations already existing in literature.