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
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author Lv, Hui-Lin
Yang, Zhen-Hang
Luo, Tian-Qi
Zheng, Shen-Zhou
author_facet Lv, Hui-Lin
Yang, Zhen-Hang
Luo, Tian-Qi
Zheng, Shen-Zhou
author_sort Lv, Hui-Lin
collection PubMed
description 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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spelling pubmed-54114142017-05-18 Sharp inequalities for tangent function with applications Lv, Hui-Lin Yang, Zhen-Hang Luo, Tian-Qi Zheng, Shen-Zhou J Inequal Appl Research 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. Springer International Publishing 2017-05-01 2017 /pmc/articles/PMC5411414/ /pubmed/28529431 http://dx.doi.org/10.1186/s13660-017-1372-5 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Lv, Hui-Lin
Yang, Zhen-Hang
Luo, Tian-Qi
Zheng, Shen-Zhou
Sharp inequalities for tangent function with applications
title Sharp inequalities for tangent function with applications
title_full Sharp inequalities for tangent function with applications
title_fullStr Sharp inequalities for tangent function with applications
title_full_unstemmed Sharp inequalities for tangent function with applications
title_short Sharp inequalities for tangent function with applications
title_sort sharp inequalities for tangent function with applications
topic Research
url 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
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AT luotianqi sharpinequalitiesfortangentfunctionwithapplications
AT zhengshenzhou sharpinequalitiesfortangentfunctionwithapplications

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