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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Some New Improvements of Huygen's Inequality

Seyran İbrahimov(KARABÜK ÜNİVERSİTESİ)0000-0002-3664-6781
Ahmad Issa(KARABÜK ÜNİVERSİTESİ)0000-0001-7495-3443
Sayfa
—
Yayın Tarihi
2023-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, using these improve- ments, stronger results were obtained from the Huygens inequality.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:First, some improvements of Young’s inequality are given in this article.
📊
Temel Bulgular & Veri:First, some improvements of Young’s inequality are given in this article.
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Sonuç & Katkı:Then, using these improve- ments, stronger results were obtained from the Huygens inequality.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Young inequality · hyperbolic functions · Huygen inequality

Abstract

First, some improvements of Young’s inequality are given in this article. Then, using these improve- ments, stronger results were obtained from the Huygens inequality.

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Bu Makaleye Atıf Yap

İbrahimov, S., Issa, A. (2023). Some New Improvements of Huygen's Inequality. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.1167007

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Kaynakça (11)

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  2. Hardy, G.H., Littlewood, J.E., P´olya, G., P´olya, G., Inequalities, Cambridge university press, 1952.
  3. Huygens, C., Oeuvres completes, publiees par la Societe hollandaise des science, Haga, 1940(1888), 1–20.
  4. Ibrahimov, S., Inequalities related to generalized hyperbolic functions and logarithmic mean, Romanian Mathematical Magazine, 2(2022), 1–8.
  5. Ibrahimov, S., Research proposal collection-2022, Romanian Mathematical Magazine, (2022), 1–107.
  6. Issa, A., Ibrahimov, S., New inequalities for hyperbolic Lucas functions, Journal of New Theory, 41(2022), 51–61.
  7. Lazarevic, I., Neke nejednakosti sa hiperbolickim funkcijama, Univerzitet u Beogradu. Publikacije Elektrotehnickog Fakulteta. Serija Matematikai Fizika, 170(1966), 41–48.
  8. Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Berlin: Springer-verlag, 1. 1970.
  9. Nantomah, K., Cusa-Huygens, Wilker and Huygens type inequalities for generalized hyperbolic functions, Earthline Journal of Mathematical Sciences, 5(2)(2021), 277–289.
  10. Nantomah, K., Prempeh, E., Some inequalities for generalized hyperbolic functions, Moroccan Journal of Pure and Applied Analysis, 6(1)(2020), 76–92.
  11. Neuman, E., Sandor, J., On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities, Mathematical Inequalities and Applications, 13(4)(2010), 715–723