Geodesic
Refinements of certain hyperbolic inequalities via the Padé approximation method
Bercu, Gabriel1 ; Wu, Shanhe2
1 Department of Mathematics and Computer Sciences, ''Dunarea de Jos'' University of Galati, 111 Domneasca Street, Galati, 800201, Romania
2 Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5011-5020.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The aim of this paper is to deal with the refinements of certain inequalities for hyperbolic functions using Padé approximation method. We provide a useful way of improving the inequalities for trigonometric functions and hyperbolic functions.
DOI : 10.22436/jnsa.009.07.05
Classification : 26D05, 41A21, 26D15, 33B10
Keywords: Padé approximation, Taylor expansion, continued fraction, hyperbolic inequalities, refinement.

Bercu, Gabriel 1 ; Wu, Shanhe 2

1 Department of Mathematics and Computer Sciences, ''Dunarea de Jos'' University of Galati, 111 Domneasca Street, Galati, 800201, Romania
2 Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China 
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Bercu, Gabriel; Wu, Shanhe. Refinements of certain hyperbolic inequalities via the Padé approximation method. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5011-5020. doi : 10.22436/jnsa.009.07.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.07.05/

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