Some Quantum Integral Inequalities for ( p, h )-Convex Functions

Jirawat Kantalo, Fongchan Wannalookkhee, Kamsing Nonlaopon () and Hüseyin Budak
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Jirawat Kantalo: Department of Mathematics and Statistics, Faculty of Science and Technology, Sakon Nakhon Rajabhat University, Sakon Nakhon 47000, Thailand
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
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey

Mathematics, 2023, vol. 11, issue 5, 1-14

Abstract: In this paper, we derive an identity of the q -definite integral of a continuous function f on a finite interval. We then use such identity to prove some new quantum integral inequalities for ( p , h ) -convex function. The results obtained in this paper generalize previous work in the literature.

Keywords: Hermite–Hadamard inequality; ( p , h )-convex function; q -derivative; q -integral; q -calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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