Research Article
Year 2020,
Volume: 8 Issue: 1, 100 - 104, 20.03.2020
Abstract
References
- C. Huygens, Oeuvres Completes, Soci´et´e Hollondaise des Sciences, Haga, 1888-1940.
- Y. J. Bagul and C. Chesneau, Refined forms of Oppenheim and Cusa-Huygens type inequalities, 2019. hal-01972893v2
- B. Maleˇsevi´c, T. Lutovac, M. Raˇsajski and C. Mortici, Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities, Advances in Difference Equations, 2018, 2018:90.
- C. Mortici, The natural approach of Wilker-Cusa-Huygens Inequalities, Math. Inequal. Appl., Volume 14, Number 3, 2011, pp. 535 -541.
- E. Neuman and J. S´andor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker and Huygens inequalities, Math. Inequal. Appl., Volume 13, Number 4, 2010, pp. 715-723.
- D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, Berlin, 1970.
- B. A. Bhayo, R. Kl´en and J. S´andor, New Trigonometric and Hyperbolic Inequalities, Miskolc Mathematical Notes, Volume 18, Number 1, 2017, pp. 125-137.
- J. S´andor, Sharp Cusa-Huygens and related inequalities, Notes on Number Theory and Discrete Mathematics, Volume 19, Number 1, 2013, pp. 50-54.
- Y. J. Bagul and C. Chesneau, Some new simple inequalities involving exponential, trigonometric and hyperbolic functions, Preprint, hal-01930521, 2018.
Year 2020,
Volume: 8 Issue: 1, 100 - 104, 20.03.2020
Abstract
In this article, we establish sharp trigonometric-polynomial bounds for unnormalized sinc function.
References
- C. Huygens, Oeuvres Completes, Soci´et´e Hollondaise des Sciences, Haga, 1888-1940.
- Y. J. Bagul and C. Chesneau, Refined forms of Oppenheim and Cusa-Huygens type inequalities, 2019. hal-01972893v2
- B. Maleˇsevi´c, T. Lutovac, M. Raˇsajski and C. Mortici, Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities, Advances in Difference Equations, 2018, 2018:90.
- C. Mortici, The natural approach of Wilker-Cusa-Huygens Inequalities, Math. Inequal. Appl., Volume 14, Number 3, 2011, pp. 535 -541.
- E. Neuman and J. S´andor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker and Huygens inequalities, Math. Inequal. Appl., Volume 13, Number 4, 2010, pp. 715-723.
- D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, Berlin, 1970.
- B. A. Bhayo, R. Kl´en and J. S´andor, New Trigonometric and Hyperbolic Inequalities, Miskolc Mathematical Notes, Volume 18, Number 1, 2017, pp. 125-137.
- J. S´andor, Sharp Cusa-Huygens and related inequalities, Notes on Number Theory and Discrete Mathematics, Volume 19, Number 1, 2013, pp. 50-54.
- Y. J. Bagul and C. Chesneau, Some new simple inequalities involving exponential, trigonometric and hyperbolic functions, Preprint, hal-01930521, 2018.
There are 9 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Article |
| Authors | |
| Submission Date | July 2, 2019 |
| Acceptance Date | February 17, 2020 |
| Publication Date | March 20, 2020 |
| DOI | https://doi.org/10.36753/mathenot.585735 |
| IZ | https://izlik.org/JA73TW28LP |
| Published in Issue | Year 2020 Volume: 8 Issue: 1 |
Cite
Cited By
The Real and Complex Approaches to a Class of Dirichlet's Sinc Integrals
Highlights in Science, Engineering and Technology
https://doi.org/10.54097/hset.v49i.8516
Generalized bounds for sine and cosine functions
Asian-European Journal of Mathematics
https://doi.org/10.1142/S1793557122500127
On the Cusa–Huygens inequality
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
https://doi.org/10.1007/s13398-020-00978-1
New Refinements of Cusa-Huygens Inequality
Results in Mathematics
https://doi.org/10.1007/s00025-021-01392-8
New inequalities of Mitrinović–Adamović type
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
https://doi.org/10.1007/s13398-021-01174-5
The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification
Applicable Analysis and Discrete Mathematics
https://doi.org/10.2298/AADM240308012B
Sharp Extensions of a Cusa-Huygens Type Inequality
Armenian Journal of Mathematics
https://doi.org/10.52737/18291163-2024.16.14-1-12
INDEXING & ABSTRACTING & ARCHIVING
The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.