Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality

Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formul...

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Detalles Bibliográficos
Autores principales: Chen, Chao-Ping, Zhang, Hui-Jie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5583316/
https://www.ncbi.nlm.nih.gov/pubmed/28943735
http://dx.doi.org/10.1186/s13660-017-1479-8
Descripción
Sumario:Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new upper bounds for [Formula: see text] . As an application, we give a generalized Carleman-type inequality.

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