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Padé approximants for inverse trigonometric functions and their applications

The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in...

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Detalles Bibliográficos
Autores principales: Wu, Shanhe, Bercu, Gabriel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5285437/
https://www.ncbi.nlm.nih.gov/pubmed/28216986
http://dx.doi.org/10.1186/s13660-017-1310-6
Descripción
Sumario:The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in this paper are more refined than that obtained in earlier papers.