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...

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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
Descripción
Sumario: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.

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