On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via ( p, q )-Calculus

Fongchan Wannalookkhee, Kamsing Nonlaopon, Jessada Tariboon and Sotiris K. Ntouyas
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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
Jessada Tariboon: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

Mathematics, 2021, vol. 9, issue 7, 1-19

Abstract: In this paper, we define ( p , q ) -integrals for continuous functions of two variables. Then, we prove the Hermite-Hadamard type inequalities for coordinated convex functions by using ( p , q ) -integrals. Many results obtained in this paper provide significant extensions of other related results given in the literature. Finally, we give some examples of our results.

Keywords: Hermite-Hadamard inequality; ( p , q )-derivative; ( p , q )-integral; ( p , q )-calculus; coordinated convex function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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