Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

Nuttapong Arunrat, Keaitsuda Maneeruk Nakprasit, Kamsing Nonlaopon, Praveen Agarwal and Sotiris K. Ntouyas
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Nuttapong Arunrat: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Keaitsuda Maneeruk Nakprasit: 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
Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 302029, India
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

Mathematics, 2022, vol. 10, issue 3, 1-15

Abstract: In this paper, we apply ( p , q ) -calculus to establish some new Chebyshev-type integral inequalities for synchronous functions. In particular, we generalize results of quantum Chebyshev-type integral inequalities by using ( p , q ) -integral. By taking p = 1 and q → 1 , our results reduce to classical results on Chebyshev-type inequalities for synchronous functions. Furthermore, we consider their relevance with other related known results.

Keywords: Chebyshev-type inequalities; synchronous (asynchronous) functions; ( p , q )-calculus; ( p , q )-derivative; ( p , q )-integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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