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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Asan application, Yang’s inequality is refine
📌 3 Key Takeaways
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Objective & Hypothesis:In this article, a new generalization of Jordan’s inequalityXnk=1µkθt − xtk ≤sin xx−sin θθ≤Xnk=1ωkθt − xtkfor t ≥ 2, n ∈ N and θ ∈ (0, π] is established, where the coefficients µkand ωk are defined by recursion formulas, and are the best possible.
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Key Findings & Data:In this article, a new generalization of Jordan’s inequalityXnk=1µkθt − xtk ≤sin xx−sin θθ≤Xnk=1ωkθt − xtkfor t ≥ 2, n ∈ N and θ ∈ (0, π] is established, where the coefficients µkand ωk are defined by recursion formulas, and are the best possible.
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Conclusion & Impact:Asan application, Yang’s inequality is refine
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ds: Jordan’s inequali · Yang’s inequali
Abstract
In this article, a new generalization of Jordan’s inequalityXnk=1µkθt − xtk ≤sin xx−sin θθ≤Xnk=1ωkθt − xtkfor t ≥ 2, n ∈ N and θ ∈ (0, π] is established, where the coefficients µkand ωk are defined by recursion formulas, and are the best possible. Asan application, Yang’s inequality is refine
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Cite This Article
HUO, Z., NİU, D., CAO, J., Qİ, F., Qİ, F. (2011). A Generalization of Jordan's Inequality and an Application ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 1, 53–61. https://ajindex.com/articles/669723