A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications. (30th July 2022)

• Record Type: Journal Article
• Authors: Sayed, Zaid Mohammed Mohammed Mahdi; Adil Khan, Muhammad; Khan, Shahid; Pečarić, Josip
• Other Names: Leiva Hugo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-07-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/8396644
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder's inequalities as well. Also, we present its applications in information theory. At the end of this paper, we give a more general form of the proposed refinement of the Jensen inequality, associated to several functions.