Refining trigonometric inequalities by using Padé approximant

A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided. It shows to achieve better approximation results than those o...

Descripción completa

Detalles Bibliográficos
Autores principales: Zhang, Zhen, Shan, Huaqing, Chen, Ligeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019424/
https://www.ncbi.nlm.nih.gov/pubmed/30008537
http://dx.doi.org/10.1186/s13660-018-1742-7
_version_ 1783335119028748288
author Zhang, Zhen
Shan, Huaqing
Chen, Ligeng
author_facet Zhang, Zhen
Shan, Huaqing
Chen, Ligeng
author_sort Zhang, Zhen
collection PubMed
description A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided. It shows to achieve better approximation results than those of prevailing methods.
format Online
Article
Text
id pubmed-6019424
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-60194242018-07-11 Refining trigonometric inequalities by using Padé approximant Zhang, Zhen Shan, Huaqing Chen, Ligeng J Inequal Appl Research A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided. It shows to achieve better approximation results than those of prevailing methods. Springer International Publishing 2018-06-27 2018 /pmc/articles/PMC6019424/ /pubmed/30008537 http://dx.doi.org/10.1186/s13660-018-1742-7 Text en © The Author(s) 2018 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
Zhang, Zhen
Shan, Huaqing
Chen, Ligeng
Refining trigonometric inequalities by using Padé approximant
title Refining trigonometric inequalities by using Padé approximant
title_full Refining trigonometric inequalities by using Padé approximant
title_fullStr Refining trigonometric inequalities by using Padé approximant
title_full_unstemmed Refining trigonometric inequalities by using Padé approximant
title_short Refining trigonometric inequalities by using Padé approximant
title_sort refining trigonometric inequalities by using padé approximant
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019424/
https://www.ncbi.nlm.nih.gov/pubmed/30008537
http://dx.doi.org/10.1186/s13660-018-1742-7
work_keys_str_mv AT zhangzhen refiningtrigonometricinequalitiesbyusingpadeapproximant
AT shanhuaqing refiningtrigonometricinequalitiesbyusingpadeapproximant
AT chenligeng refiningtrigonometricinequalitiesbyusingpadeapproximant

Ejemplares similares