1. The Strong Convex Functions and Related Inequalities.
- Author
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Wang, Xue, Haq, Absar ul, Saleem, Muhammad Shoaib, and Zakir, Sami Ullah
- Subjects
- *
MATHEMATICAL optimization , *GEOMETRIC analysis , *CHARACTERISTIC functions , *INTEGRAL inequalities - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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