(m, n)-Harmonically polynomial convex functions and some Hadamard type inequalities on the co-ordinates

被引：15

作者：

Butt, Saad Ihsan ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Nadeem, Muhammad ^{[1
]}

Mlaiki, Nabil ^{[3
]}

Iscan, Imdat ^{[4
]}

Abdeljawad, Thabet ^{[3
,5
,6
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Ibrahim Cecen Univ Agri, Fac Sci & Arts, Dept Math, Agri, Turkey

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[4] Giresun Univ, Fac Sci & Arts, Dept Math, Giresun, Turkey

[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[6] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 05期

关键词：

Hadamard-type inequality; co-ordinates; (m; n)-harmonically polynomial convex functions; RECTANGLE;

D O I：

10.3934/math.2021275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we have introduced a new concept called (m, n)-harmonically polynomial convex functions on the co-ordinates. Then, we have demonstrated some properties of this definition. Based on the definition and some elementary analysis process, we have proved a new Hadamard type integral inequality on the coordinates for (m, n)-harmonically polynomial convex functions. Finally, we have established Hadamard type inequality for differentiable (m, n)-Harmonically polynomial convex functions. We have also given some special cases for bounded functions.

引用

页码：4677 / 4690

页数：14

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