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A Symmetric Quantum Perspective of Analytical Inequalities and Their Applications

Author

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  • Muhammad Zakria Javed

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Nimra Naeem

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Muhammad Uzair Awan

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Yuanheng Wang

    (School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China)

  • Omar Mutab Alsalami

    (Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

This study explores some new symmetric quantum inequalities that are based on Breckner’s convexity. By using these concepts, we propose new versions of Hermite–Hadamard (H-H) and Fejer-type inequalities. Additionally, we establish a new integral identity which helped us to derive a set of new quantum inequalities. Using the symmetric quantum identity, Breckner’s convexity, and several other classical inequalities, we develop blended bounds for a general quadrature scheme. To ensure the significance of this study, a few captivating applications are discussed.

Suggested Citation

  • Muhammad Zakria Javed & Nimra Naeem & Muhammad Uzair Awan & Yuanheng Wang & Omar Mutab Alsalami, 2025. "A Symmetric Quantum Perspective of Analytical Inequalities and Their Applications," Mathematics, MDPI, vol. 13(18), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:2910-:d:1745348
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