The Strong Convex Functions and Related Inequalities. (5th April 2022)

• Record Type: Journal Article
• Authors: Wang, Xue; Haq, Absar ul; Saleem, Muhammad Shoaib; Zakir, Sami Ullah
• Other Names: Raza Mohsan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/4056201
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory. The Jensen-Mercer type inequalities are studied extensively in recent years. In the present paper, we extend Jensen-Mercer type inequalities for strong convex function. Some improved inequalities in Hölder sense are also derived. The previously established results are generalized and strengthened by our results.