Research Article

Some New Improvements of Huygen's Inequality

Volume: 15 Number: 1 June 30, 2023
EN

Some New Improvements of Huygen's 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.

Keywords

References

  1. Cajori, F., A History of Mathematics, American Mathematical Society, 1999.
  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2023

Submission Date

August 25, 2022

Acceptance Date

May 9, 2023

Published in Issue

Year 2023 Volume: 15 Number: 1

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
1.İbrahimov S, Issa A. Some New Improvements of Huygen’s Inequality. TJMCS. 2023;15(1):157-163. doi:10.47000/tjmcs.1167007
Chicago
İbrahimov, Seyran, and Ahmad Issa. 2023. “Some New Improvements of Huygen’s Inequality”. Turkish Journal of Mathematics and Computer Science 15 (1): 157-63. https://doi.org/10.47000/tjmcs.1167007.
EndNote
İbrahimov S, Issa A (June 1, 2023) Some New Improvements of Huygen’s Inequality. Turkish Journal of Mathematics and Computer Science 15 1 157–163.
IEEE
[1]S. İbrahimov and A. Issa, “Some New Improvements of Huygen’s Inequality”, TJMCS, vol. 15, no. 1, pp. 157–163, June 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 (June 1, 2023): 157-163. https://doi.org/10.47000/tjmcs.1167007.
JAMA
1.İbrahimov S, Issa A. Some New Improvements of Huygen’s Inequality. TJMCS. 2023;15:157–163.
MLA
İbrahimov, Seyran, and Ahmad Issa. “Some New Improvements of Huygen’s Inequality”. Turkish Journal of Mathematics and Computer Science, vol. 15, no. 1, June 2023, pp. 157-63, doi:10.47000/tjmcs.1167007.
Vancouver
1.Seyran İbrahimov, Ahmad Issa. Some New Improvements of Huygen’s Inequality. TJMCS. 2023 Jun. 1;15(1):157-63. doi:10.47000/tjmcs.1167007