Some New Post-Quantum Simpson’s Type Inequalities for Coordinated Convex Functions

Fongchan Wannalookkhee, Kamsing Nonlaopon, Sotiris K. Ntouyas, Mehmet Zeki Sarikaya and Hüseyin Budak
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Fongchan Wannalookkhee: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Mehmet Zeki Sarikaya: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey

Mathematics, 2022, vol. 10, issue 6, 1-26

Abstract: In this paper, we establish some new Simpson’s type inequalities for coordinated convex functions by using post-quantum calculus. The results raised in this paper provide significant extensions and generalizations of other related results given in earlier works.

Keywords: Simpson’s inequality; convex function; coordinated convex function; ( p , q )-derivative; ( p , q )-integral; ( p , q )-calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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