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arXiv:2510.20841 (math)
[Submitted on 18 Oct 2025 ]

Title: Remarks on Redheffer's inequality

Title: 关于Redheffer不等式的备注

Authors:Nagi Suzuki, Shingo Takeuchi
Abstract: Redheffer's inequality and its extensions are applied to study the behavior and estimates of the first eigenvalue of $p$-Laplacian with respect to $p$. Furthermore, a Redheffer-type inequality for the generalized trigonometric function is extended to a broader class.
Abstract: Redheffer不等式及其推广被用于研究$p$-Laplacian在$p$下的第一个特征值的行为和估计。 此外,一种类似于Redheffer的不等式被扩展到更广泛的广义三角函数类中。
Comments: 10 pages
Subjects: General Mathematics (math.GM)
MSC classes: 34L15, 26D05, 33E05
Cite as: arXiv:2510.20841 [math.GM]
  (or arXiv:2510.20841v1 [math.GM] for this version)
  https://doi.org/10.48550/arXiv.2510.20841
arXiv-issued DOI via DataCite

Submission history

From: Shingo Takeuchi [view email]
[v1] Sat, 18 Oct 2025 14:48:29 UTC (10 KB)
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