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On logarithm of circular and hyperbolic functions and bounds for exp(±x2) Cover

On logarithm of circular and hyperbolic functions and bounds for exp(±x2)

By: József Sándor  
Open Access
|Nov 2022

References

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  2. [2] B. A. Bhayo, J. Sándor, On certain old and new trigonometric and hyperbolic inequalities. Analysis Mathematica, 41 (2015), No. 1–2, 3–15.10.1007/s10476-015-0102-9
  3. [3] D. S. Mitrinovic, Analytic inequalities, Springer, 1970.10.1007/978-3-642-99970-3
  4. [4] E. Neuman, J. Sándor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker and Huygens inequalities, Math. Ineq. Appl., 13 (2010), 715–723.10.7153/mia-13-50
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  7. [7] J. Sándor, On Huygens’ inequalities and the theory of means, Intern. J. Math. Math. Sci., volume 2012, Article ID597490, 1–9.10.1155/2012/597490
  8. [8] J. Sándor, Sharp Cusa-Huygens and related inequalities, Notes on Number Theory and Discrete Mathematics, 19 (2013), No. 1, 50–54.
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Language: English
Page range: 160 - 165
Submitted on: Oct 11, 2021
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Published on: Nov 18, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 József Sándor, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.