COORDINATE STRONGLY s-CONVEX FUNCTIONS AND RELATED RESULTS

被引：11

作者：

Ullah, Syed Zaheer ^{[1
]}

Khan, Muhammad Adil ^{[1
]}

Khan, Zareen A. ^{[2
]}

Chu, Yu-Ming ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[2] Princess Nora bint Abdulrahman Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 03期

关键词：

s-convex function; strongly convex function; strongly s-convex function; JENSENS INEQUALITY; RECTANGLE;

D O I：

10.7153/jmi-2020-14-53

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we give non-trivial examples of coordinate s-convex functions which are not s-convex functions. Also, we present a new class of coordinate strongly s-convex functions. We prove that every strongly s-convex function is coordinate strongly s-convex function but the converse is not generally true. Furthermore, we establish Jensen type inequality for strongly s-convex functions. We present Jensen and Hermite-Hadamard type inequalities for coordinate strongly s-convex functions.

引用

页码：829 / 843

页数：15

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