An unity of Mitrinovic-Adamovic and Cusa-Huygens inequalities and the analogue for hyperbolic functions
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Publication:2331713
DOI10.1007/s13398-019-00706-4zbMath1429.26041OpenAlexW2954136328MaRDI QIDQ2331713
Publication date: 30 October 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-019-00706-4
hyperbolic functionscircular functionsextended Cusa-Huygens inequalityextended Lazarevic inequalityextended Mitrinovic-Adamovic inequality
Related Items (16)
New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method ⋮ New Mitrinović-Adamović type inequalities ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ New sharp inequalities of Mitrinovic-Adamovic type ⋮ Monotonicity of three kinds of functions involving the Gaussian hypergeometric function ⋮ New inequalities for hyperbolic functions based on reparameterization ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Tighter bounds for the inequalities of sinc function based on reparameterization ⋮ On the Cusa-Huygens inequality ⋮ Wilker inequalities of exponential type for circular functions ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions ⋮ Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ Sharp inequalities on circular and hyperbolic functions using Bernoulli inequality types ⋮ A family of Wilker's inequalities in two parameters and its applications
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