Research Article

Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions

Volume: 14 Number: 2 December 30, 2022
EN

Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions

Abstract

In this paper, we introduce the Wilker$-$Anglesio's inequality and parameterized Wilker inequality for the $k-$Fibonacci hyperbolic functions using classical analytical techniques.

Keywords

References

  1. Bahşi, M., Wilker-type inequalities for hyperbolic Fibonacci functions, Journal of Inequalities and Applications, 1(2016), 1–7.
  2. Falcon, S., Plaza, A., On the Fibonacci k−numbers, Chaos, Solitons & Fractals, 32(5)(2007), 1615–1624.
  3. Falcon, S., Plaza, A., The k−Fibonacci sequence and the Pascal 2−triangle, Chaos, Solitons & Fractals, 33(1)(2007), 38–49.
  4. Falcon, S.,Plaza, A., The k−Fibonacci hyperbolic functions, Chaos, Solitons & Fractals, 38(2)(2008), 409–420.
  5. Guo, B.N., Li, W., Qiao, B.M., Qi, F., On new proofs of inequalities involving trigonometric functions, RGMIA Research Report Collection, 3(1)(2000).
  6. Guo, B.N., Li, W., Qi, F., Proofs of Wilker’s inequalities involving trigonometric functions, Inequality Theory and Applications, 2(2003), 109–112.
  7. Hardy, G.H., Littlewood J.E., Polya, G., Inequalities, Cambridge University Press, 1952.
  8. Huygens C., Oeuvres Completes: Societe Hollandaise des Sciences, Den Haag, 1885.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

July 25, 2021

Acceptance Date

September 22, 2022

Published in Issue

Year 2022 Volume: 14 Number: 2

APA
Köme, S. (2022). Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions. Turkish Journal of Mathematics and Computer Science, 14(2), 340-345. https://doi.org/10.47000/tjmcs.974413
AMA
1.Köme S. Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions. TJMCS. 2022;14(2):340-345. doi:10.47000/tjmcs.974413
Chicago
Köme, Sure. 2022. “Wilker-Type Inequalities for $k-$Fibonacci Hyperbolic Functions”. Turkish Journal of Mathematics and Computer Science 14 (2): 340-45. https://doi.org/10.47000/tjmcs.974413.
EndNote
Köme S (December 1, 2022) Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions. Turkish Journal of Mathematics and Computer Science 14 2 340–345.
IEEE
[1]S. Köme, “Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions”, TJMCS, vol. 14, no. 2, pp. 340–345, Dec. 2022, doi: 10.47000/tjmcs.974413.
ISNAD
Köme, Sure. “Wilker-Type Inequalities for $k-$Fibonacci Hyperbolic Functions”. Turkish Journal of Mathematics and Computer Science 14/2 (December 1, 2022): 340-345. https://doi.org/10.47000/tjmcs.974413.
JAMA
1.Köme S. Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions. TJMCS. 2022;14:340–345.
MLA
Köme, Sure. “Wilker-Type Inequalities for $k-$Fibonacci Hyperbolic Functions”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 2, Dec. 2022, pp. 340-5, doi:10.47000/tjmcs.974413.
Vancouver
1.Sure Köme. Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions. TJMCS. 2022 Dec. 1;14(2):340-5. doi:10.47000/tjmcs.974413