Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities

From MaRDI portal
Publication:2879456

DOI10.7153/jmi-07-52zbMath1298.26089OpenAlexW2326305704MaRDI QIDQ2879456

Ling Zhu, Zhengjie Sun

Publication date: 2 September 2014

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-07-52.pdf




Related Items (22)

New bounds for the exponential function with cotangentRefining trigonometric inequalities by using Padé approximantNew refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials methodNew Cusa-Huygens type inequalitiesSharper bounds and new proofs of the exponential function with cotangentSharp Redheffer-type and Becker-Stark-type inequalities with an applicationA note on the Becker-Stark type inequalitiesSharp exponential approximate inequalities for trigonometric functionsThe natural approach of trigonometric inequalities - Padé approximantSharp Becker-Stark's type inequalities with power exponential functionsSharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximationsMonotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functionsRefined quadratic estimations of Shafer's inequalityRefinements of Jordan-Stečkin and Becker-Stark inequalitiesSharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an applicationOn the generalized Becker-Stark type inequalitiesSharp inequalities of Mitrinovic-Adamovic typeApproximating trigonometric functions by using exponential inequalitiesNew inequalities between the inverse hyperbolic tangent and the analogue for corresponding functionsSome sharp circular and hyperbolic bounds of exp(-x2) with applicationsGeneralizations and refinements of Stečkin-type inequality for tangent and secant functionsRemark on the paper of Zheng Jie Sun and Ling Zhu




This page was built for publication: Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities