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Research Article | Open Access

Parametric generalized ( p , q )-integral inequalities and applications

Kamsing Nonlaopon1, Muhammad Uzair Awan2( ), Sadia Talib2, Hüseyin Budak3
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Department of Mathematics, Government College University, Faisalabad, Pakistan
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
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Abstract

A new generalized ( p , q )-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of s-preinvex functions. We discuss several new and known special cases of the obtained results. This shows that our results are quite unifying. To demonstrate the significance of the main results, we also present some interesting applications.

Keywords

convexpreinvexs-preinvexpost quantum calculusintegral inequalities
CLC number: 05A33, 26A51, 26D10, 26D15

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12437-12457
DOI: 10.3934/math.2022690

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Cite this article:
Nonlaopon K, Awan MU, Talib S, et al. Parametric generalized ( p , q )-integral inequalities and applications. AIMS Mathematics, 2022, 7(7): 12437-12457. https://doi.org/10.3934/math.2022690

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Received: 10 February 2022
Revised: 24 March 2022
Accepted: 31 March 2022
Published: 15 July 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)