The Strong Convex Functions and Related Inequalities | Zendy

Xue Wang | Zendy; Absar Ul Haq | Zendy; Muhammad Shoaib Saleem | Zendy; Sami Ullah Zakir | Zendy

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The Strong Convex Functions and Related Inequalities

Author(s) -

Xue Wang,

Absar Ul Haq,

Muhammad Shoaib Saleem,

Sami Ullah Zakir

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/4056201

Subject(s) - convexity , mathematics , convex function , jensen's inequality , inequality , regular polygon , convex analysis , pure mathematics , type (biology) , function (biology) , core (optical fiber) , field (mathematics) , calculus (dental) , convex optimization , mathematical analysis , computer science , geometry , geology , medicine , paleontology , telecommunications , dentistry , evolutionary biology , financial economics , economics , biology

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.

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