Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 15 Sayı: 1, 157 - 163, 30.06.2023
https://doi.org/10.47000/tjmcs.1167007

Öz

Kaynakça

  • Cajori, F., A History of Mathematics, American Mathematical Society, 1999.
  • Hardy, G.H., Littlewood, J.E., P´olya, G., P´olya, G., Inequalities, Cambridge university press, 1952.
  • Huygens, C., Oeuvres completes, publiees par la Societe hollandaise des science, Haga, 1940(1888), 1–20.
  • Ibrahimov, S., Inequalities related to generalized hyperbolic functions and logarithmic mean, Romanian Mathematical Magazine, 2(2022), 1–8.
  • Ibrahimov, S., Research proposal collection-2022, Romanian Mathematical Magazine, (2022), 1–107.
  • Issa, A., Ibrahimov, S., New inequalities for hyperbolic Lucas functions, Journal of New Theory, 41(2022), 51–61.
  • Lazarevic, I., Neke nejednakosti sa hiperbolickim funkcijama, Univerzitet u Beogradu. Publikacije Elektrotehnickog Fakulteta. Serija Matematikai Fizika, 170(1966), 41–48.
  • Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Berlin: Springer-verlag, 1. 1970.
  • Nantomah, K., Cusa-Huygens, Wilker and Huygens type inequalities for generalized hyperbolic functions, Earthline Journal of Mathematical Sciences, 5(2)(2021), 277–289.
  • Nantomah, K., Prempeh, E., Some inequalities for generalized hyperbolic functions, Moroccan Journal of Pure and Applied Analysis, 6(1)(2020), 76–92.
  • 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

Some New Improvements of Huygen's Inequality

Yıl 2023, Cilt: 15 Sayı: 1, 157 - 163, 30.06.2023
https://doi.org/10.47000/tjmcs.1167007

Öz

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.

Kaynakça

  • Cajori, F., A History of Mathematics, American Mathematical Society, 1999.
  • Hardy, G.H., Littlewood, J.E., P´olya, G., P´olya, G., Inequalities, Cambridge university press, 1952.
  • Huygens, C., Oeuvres completes, publiees par la Societe hollandaise des science, Haga, 1940(1888), 1–20.
  • Ibrahimov, S., Inequalities related to generalized hyperbolic functions and logarithmic mean, Romanian Mathematical Magazine, 2(2022), 1–8.
  • Ibrahimov, S., Research proposal collection-2022, Romanian Mathematical Magazine, (2022), 1–107.
  • Issa, A., Ibrahimov, S., New inequalities for hyperbolic Lucas functions, Journal of New Theory, 41(2022), 51–61.
  • Lazarevic, I., Neke nejednakosti sa hiperbolickim funkcijama, Univerzitet u Beogradu. Publikacije Elektrotehnickog Fakulteta. Serija Matematikai Fizika, 170(1966), 41–48.
  • Mitrinovic, D.S., Vasic, P.M., Analytic Inequalities, Berlin: Springer-verlag, 1. 1970.
  • Nantomah, K., Cusa-Huygens, Wilker and Huygens type inequalities for generalized hyperbolic functions, Earthline Journal of Mathematical Sciences, 5(2)(2021), 277–289.
  • Nantomah, K., Prempeh, E., Some inequalities for generalized hyperbolic functions, Moroccan Journal of Pure and Applied Analysis, 6(1)(2020), 76–92.
  • 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
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Seyran İbrahimov 0000-0002-3664-6781

Ahmad Issa 0000-0001-7495-3443

Yayımlanma Tarihi 30 Haziran 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 15 Sayı: 1

Kaynak Göster

APA İbrahimov, S., & Issa, A. (2023). Some New Improvements of Huygen’s Inequality. Turkish Journal of Mathematics and Computer Science, 15(1), 157-163. https://doi.org/10.47000/tjmcs.1167007
AMA İbrahimov S, Issa A. Some New Improvements of Huygen’s Inequality. TJMCS. Haziran 2023;15(1):157-163. doi:10.47000/tjmcs.1167007
Chicago İbrahimov, Seyran, ve Ahmad Issa. “Some New Improvements of Huygen’s Inequality”. Turkish Journal of Mathematics and Computer Science 15, sy. 1 (Haziran 2023): 157-63. https://doi.org/10.47000/tjmcs.1167007.
EndNote İbrahimov S, Issa A (01 Haziran 2023) Some New Improvements of Huygen’s Inequality. Turkish Journal of Mathematics and Computer Science 15 1 157–163.
IEEE S. İbrahimov ve A. Issa, “Some New Improvements of Huygen’s Inequality”, TJMCS, c. 15, sy. 1, ss. 157–163, 2023, doi: 10.47000/tjmcs.1167007.
ISNAD İbrahimov, Seyran - Issa, Ahmad. “Some New Improvements of Huygen’s Inequality”. Turkish Journal of Mathematics and Computer Science 15/1 (Haziran 2023), 157-163. https://doi.org/10.47000/tjmcs.1167007.
JAMA İbrahimov S, Issa A. Some New Improvements of Huygen’s Inequality. TJMCS. 2023;15:157–163.
MLA İbrahimov, Seyran ve Ahmad Issa. “Some New Improvements of Huygen’s Inequality”. Turkish Journal of Mathematics and Computer Science, c. 15, sy. 1, 2023, ss. 157-63, doi:10.47000/tjmcs.1167007.
Vancouver İbrahimov S, Issa A. Some New Improvements of Huygen’s Inequality. TJMCS. 2023;15(1):157-63.