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Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions

Author

Listed:
  • 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
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

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.

Suggested Citation

  • Nuttapong Arunrat & Keaitsuda Maneeruk Nakprasit & Kamsing Nonlaopon & Praveen Agarwal & Sotiris K. Ntouyas, 2022. "Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions," Mathematics, MDPI, vol. 10(3), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:468-:d:739406
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    References listed on IDEAS

    as
    1. Junesang Choi & Praveen Agarwal, 2014. "Some New Saigo Type Fractional Integral Inequalities and Their -Analogues," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, April.
    2. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional -Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
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