Quantum integral Favard-type inequality

Jiao Yu

Applied Mathematics and Computation, 2025, vol. 500, issue C

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.

Keywords: Quantum integral; q-Chebyshev inequality; q-Favard inequality; Energy estimation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:500:y:2025:i:c:s0096300325001791

DOI: 10.1016/j.amc.2025.129452

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