A Generalization of Jordan's Inequality and an Application ABSTRACT | FULL TEXT

Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Asan application, Yang’s inequality is refine

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler: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

Anahtar kelimeler

ds: Jordan’s inequali Yang’s inequali

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Bu Makaleye Atıf Yap

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/669724

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Kaynakça (11)

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