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Quantum integral Favard-type inequality

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  • Yu, Jiao

Abstract

In this paper, the classic Favard inequality in classical calculus is extended to quantum calculus, resulting in the quantum integral form of the Favard-type inequality. Furthermore, the quantum integral form under weighted conditions is considered. As q→1−, it degenerates into the classical Favard inequality.

Suggested Citation

  • Yu, Jiao, 2025. "Quantum integral Favard-type inequality," Applied Mathematics and Computation, Elsevier, vol. 500(C).
    • Handle: RePEc:eee:apmaco:v:500:y:2025:i:c:s0096300325001791
    DOI: 10.1016/j.amc.2025.129452
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    References listed on IDEAS

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    1. Set, Erhan & Kashuri, Artion & Mumcu, İlker, 2021. "Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya–Szegö inequality with applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Saima Rashid & Muhammad Aslam Noor & Khalida Inayat Noor & Farhat Safdar & Yu-Ming Chu, 2019. "Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale," Mathematics, MDPI, vol. 7(10), pages 1-20, October.
    3. Zareen A. Khan & Humaira Kalsoom, 2023. "SOME NEW INEQUALITIES FOR n-POLYNOMIAL s-TYPE CONVEXITY PERTAINING TO INTER-VALUED FUNCTIONS GOVERNED BY FRACTIONAL CALCULUS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-15.
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