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Research Article | Open Access

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

Ahmet Ocak Akdemir1, Saad Ihsan Butt2, Muhammad Nadeem2, Maria Alessandra Ragusa3( )
Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, 04100, Ağrı, Turkey
COMSATS University of Islamabad, Lahore Campus, Pakistan
Dipartimento di Matematica e Informatica, Universitá di Catania, Viale Andrea Doria, 6, CATANIA 95125, Italy
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Abstract

In this study, the concept of (m,n)−polynomial (p1,p2)- 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 (p1,p2)- convex functions on the co-ordinates. Several special cases that some of them proved in earlier works have been considered.

Keywords

Hadamard-type inequalityco-ordinates(m, n)-polynomial convex functions
CLC number: 26D10, 26D15

References

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AIMS Mathematics
Volume 7 Issue 12,
December 2022
Pages 20461-20489
DOI: 10.3934/math.20221121

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Cite this article:
Akdemir AO, Butt SI, Nadeem M, et al. Some new integral inequalities for a general variant of polynomial convex functions. AIMS Mathematics, 2022, 7(12): 20461-20489. https://doi.org/10.3934/math.20221121

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Received: 16 July 2022
Revised: 30 August 2022
Accepted: 02 September 2022
Published: 15 December 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)