Research Article

New Inequalities for Hyperbolic Lucas Functions

Number: 41 December 31, 2022
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

Hyperbolic Lucas functions, Wilker’s inequality, Cusa-Huygens inequality, Wu-Srivastava inequality

References

  1. 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.
  2. B. N. Guo, W. Li, F. Qi, Proofs of Wilker’s Inequalities Involving Trigonometric Functions, Inequality Theory and Applications 2 (1) (2001) 109–112.
  3. E. Neuman, On Wilker and Huygens Type Inequalities, Mathematical Inequalities and Applications 15 (2) (2012) 271–279.
  4. 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.
  5. J. Wilker, J. Sumner, A. Jagers, M. Vowe, J. Anglesio, Inequalities Involving Trigonometric Functions (E3306), The American Mathematical Monthly 98 (3) (1991) 264–267.
  6. L. Zhang, L. Zhu, A New Elementary Proof of Wilker’s Inequalities, Mathematical Inequalities and Applications 11 (1) (2008) 149–151.
  7. L. Zhu, On Wilker-Type Inequalities, Mathematical Inequalities and Applications 10 (4) (2007) 727–731.
  8. M. Bahşi, Wilker-Type Inequalities for Hyperbolic Fibonacci Functions, Journal of Inequalities and Applications 2016 (1) (2016) 1–7.
  9. S. Wu, H. Srivastava, A Weighted and Exponential Generalization of Wilker’s Inequality and Its Applications, Integral Transforms and Special Functions 18 (8) (2007) 529–535.
  10. S.Wu, L. Debnath, Wilker-Type Inequalities for Hyperbolic Functions, Applied Mathematics Letters 25 (5) (2012) 837–842.
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 31, 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 31, 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. 31;(41):51-6. doi:10.53570/jnt.1162421

Cited By