Some new integral inequalities for a general variant of polynomial convex functions

AIMS Mathematics

article

Ahmet Ocak Akdemir¹  Saad Ihsan Butt²  Muhammad Nadeem²  Maria Alessandra Ragusa³ 

[1] Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics;COMSATS University of Islamabad, Lahore Campus;Dipartimento di Matematica e Informatica, Universitá di Catania

关键词: Hadamard-type inequality;    co-ordinates;    $ (m;    n);    $polynomial convex functions;   

DOI  :  10.3934/math.20221121

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this study, the concept of $ (m, n)- $polynomial $ (p_{1}, p_{2}) $- convex functions on the co-ordinates has been established with some basic properties. Dependent on this new concept, a new Hermite-Hadamard type inequality has been proved, then some new integral inequalities have been obtained for partial differentiable $ (m, n)- $polynomial $ (p_{1}, p_{2}) $- convex functions on the co-ordinates. Several special cases that some of them proved in earlier works have been considered.

【 授权许可】

CC BY