EN
New Inequalities for Hyperbolic Lucas Functions
Abstract
This article introduces the classic Wilker’s, Wu-Srivastava, Hugyen’s, Cusa-Hugyen’s, and Wilker’s-Anglesio type inequalities for hyperbolic Lucas functions with some new refinements.
Keywords
References
- B. N. Guo, B. M. Qiao, F. Qi, W. Li, On New Proofs of Wilker’s Inequalities Involving Trigonometric Functions, Mathematical Inequalities and Applications 6 (1) (2003) 19–22.
- B. N. Guo, W. Li, F. Qi, Proofs of Wilker’s Inequalities Involving Trigonometric Functions, Inequality Theory and Applications 2 (1) (2001) 109–112.
- E. Neuman, On Wilker and Huygens Type Inequalities, Mathematical Inequalities and Applications 15 (2) (2012) 271–279.
- E. Neuman, Wilker and Huygens-Type Inequalities for the Generalized Trigonometric and for the Generalized Hyperbolic Functions, Applied Mathematics and Computation 230 (2) (2014) 211–217.
- J. Wilker, J. Sumner, A. Jagers, M. Vowe, J. Anglesio, Inequalities Involving Trigonometric Functions (E3306), The American Mathematical Monthly 98 (3) (1991) 264–267.
- L. Zhang, L. Zhu, A New Elementary Proof of Wilker’s Inequalities, Mathematical Inequalities and Applications 11 (1) (2008) 149–151.
- L. Zhu, On Wilker-Type Inequalities, Mathematical Inequalities and Applications 10 (4) (2007) 727–731.
- M. Bahşi, Wilker-Type Inequalities for Hyperbolic Fibonacci Functions, Journal of Inequalities and Applications 2016 (1) (2016) 1–7.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 31, 2022
Submission Date
August 15, 2022
Acceptance Date
November 16, 2022
Published in Issue
Year 2022 Number: 41
APA
Issa, A., & İbrahimov, S. (2022). New Inequalities for Hyperbolic Lucas Functions. Journal of New Theory, 41, 51-61. https://doi.org/10.53570/jnt.1162421
AMA
1.Issa A, İbrahimov S. New Inequalities for Hyperbolic Lucas Functions. JNT. 2022;(41):51-61. doi:10.53570/jnt.1162421
Chicago
Issa, Ahmad, and Seyran İbrahimov. 2022. “New Inequalities for Hyperbolic Lucas Functions”. Journal of New Theory, nos. 41: 51-61. https://doi.org/10.53570/jnt.1162421.
EndNote
Issa A, İbrahimov S (December 1, 2022) New Inequalities for Hyperbolic Lucas Functions. Journal of New Theory 41 51–61.
IEEE
[1]A. Issa and S. İbrahimov, “New Inequalities for Hyperbolic Lucas Functions”, JNT, no. 41, pp. 51–61, Dec. 2022, doi: 10.53570/jnt.1162421.
ISNAD
Issa, Ahmad - İbrahimov, Seyran. “New Inequalities for Hyperbolic Lucas Functions”. Journal of New Theory. 41 (December 1, 2022): 51-61. https://doi.org/10.53570/jnt.1162421.
JAMA
1.Issa A, İbrahimov S. New Inequalities for Hyperbolic Lucas Functions. JNT. 2022;:51–61.
MLA
Issa, Ahmad, and Seyran İbrahimov. “New Inequalities for Hyperbolic Lucas Functions”. Journal of New Theory, no. 41, Dec. 2022, pp. 51-61, doi:10.53570/jnt.1162421.
Vancouver
1.Ahmad Issa, Seyran İbrahimov. New Inequalities for Hyperbolic Lucas Functions. JNT. 2022 Dec. 1;(41):51-6. doi:10.53570/jnt.1162421
Cited By
Some New Improvements of Huygen's Inequality
Turkish Journal of Mathematics and Computer Science
https://doi.org/10.47000/tjmcs.1167007