Sharp inequalities for tangent function with applications

In the article, we present new bounds for the function [Formula: see text] on the interval [Formula: see text] and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the quotient of power series, which refine the Redheffer and Becker-Stark...

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Detalles Bibliográficos
Autores principales: Lv, Hui-Lin, Yang, Zhen-Hang, Luo, Tian-Qi, Zheng, Shen-Zhou
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5411414/
https://www.ncbi.nlm.nih.gov/pubmed/28529431
http://dx.doi.org/10.1186/s13660-017-1372-5
Descripción
Sumario:In the article, we present new bounds for the function [Formula: see text] on the interval [Formula: see text] and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the quotient of power series, which refine the Redheffer and Becker-Stark type inequalities for tangent function.

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