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Symmetric Quantum Inequalities on Finite Rectangular Plane

Author

Listed:
  • Saad Ihsan Butt

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan)

  • Muhammad Nasim Aftab

    (Department of Mathematics, Punjab Group of Colleges, Okara Campus, Okara 56101, Pakistan)

  • Youngsoo Seol

    (Department of Mathematics, Dong-A University, Busan 49315, Republic of Korea)

Abstract

Finding the range of coordinated convex functions is yet another application for the symmetric Hermite–Hadamard inequality. For any two-dimensional interval [ a 0 , a 1 ] × [ c 0 , c 1 ] ⊆ ℜ 2 , we introduce the notion of partial q θ -, q ϕ -, and q θ q ϕ -symmetric derivatives and a q θ q ϕ -symmetric integral. Moreover, we will construct the q θ q ϕ -symmetric Hölder’s inequality, the symmetric quantum Hermite–Hadamard inequality for the function of two variables in a rectangular plane, and address some of its related applications.

Suggested Citation

  • Saad Ihsan Butt & Muhammad Nasim Aftab & Youngsoo Seol, 2024. "Symmetric Quantum Inequalities on Finite Rectangular Plane," Mathematics, MDPI, vol. 12(10), pages 1-29, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1517-:d:1393717
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