Refining trigonometric inequalities by using Padé approximant
type: Item
instance of: scholarly article
title: Refining trigonometric inequalities by using Padé approximant
zbMATH Open document ID: 1498.26030
author: Zhen Zhang
author: Huaqing Shan
author: Li-Geng Chen
published in: Journal of Inequalities and Applications
publication date: 2021-12-15T00:00:00Z
Mathematics Subject Classification ID: 26D05
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 42A05
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 7445865
zbMATH Keywords: trigonometric inequalities
zbMATH Keywords: Padé approximant
zbMATH Keywords: two-sided bounds
zbMATH Keywords: rational refinement
MaRDI profile type: Publication
full work available at URL: s13660-018-1742-7
OpenAlex ID: W2811375186
Wikidata QID: Q90218514
cites work: Q4856607
cites work: The natural approach of trigonometric inequalities - Padé approximant
cites work: Sharpness and generalization of Jordan's inequality and its application
cites work: Q4095322
cites work: Refinements of Jordan-Stečkin and Becker-Stark inequalities
cites work: The natural algorithmic approach of mixed trigonometric-polynomial problems
cites work: A method for proving some inequalities on mixed trigonometric polynomial functions
cites work: The natural approach of Wilker-Cusa-Huygens inequalities
cites work: A subtly analysis of Wilker inequality
cites work: New approximations of some expressions involving trigonometric functions
cites work: Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations
cites work: Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities
cites work: Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
cites work: A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality. II
cites work: A weighted and exponential generalization of Wilker's inequality and its applications
cites work: Sharpened versions of Mitrinović-Adamović, Lazarević and Wilker's inequalities for trigonometric and hyperbolic functions
cites work: Several improvements of Mitrinovic-Adamovic and Lazarevics inequalities with applications to the sharpening of Wilker-type inequalities
cites work: Sharp Cusa type inequalities with two parameters and their applications
cites work: Sharpening Jordan's inequality and the Yang Le inequality
cites work: Sharpening Jordan's inequality and Yang Le inequality. II
DOI: 10.1186/S13660-018-1742-7
Recommended article: Padé approximant related to remarkable inequalities involving trigonometric functions
Recommended article: New refinements and improvements of some trigonometric inequalities based on Padé approximant
Recommended article: The natural approach of trigonometric inequalities - Padé approximant
Recommended article: Q5158867
Recommended article: Padé approximants for inverse trigonometric functions and their applications
Recommended article: Approximating trigonometric functions by using exponential inequalities
Recommended article: Refinements of a two-sided inequality for trigonometric functions
Recommended article: Q3468080
Recommended article: Refinements of certain hyperbolic inequalities via the Padé approximation method
description: scientific article; zbMATH DE number 7445865