Sharpened versions of Mitrinović-Adamović, Lazarević and Wilkers inequalities for trigonometric and hyperbolic functions

DOI10.22436/jnsa.009.05.65zbMath1345.26024OpenAlexW2789529280MaRDI QIDQ2812336

Mihály Bencze, Shuguang Li, Shan-He Wu

Publication date: 16 June 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2688--2696_Sharpened_versions_of_Mitrinovic-Ad.pdf

zbMATH Keywords

hyperbolic functions trigonometric functions Wilker inequality sharpening Lazarević inequality Mitrinović-Adamović inequality best possible coefficient

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (11)

A two-point-Padé-approximant-based method for bounding some trigonometric functions ⋮ Refining trigonometric inequalities by using Padé approximant ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ New bounds of sinc function by using a family of exponential 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 ⋮ Generalized Wilker-type inequalities with two parameters ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ Sharp inequalities of Mitrinovic-Adamovic type ⋮ A family of Wilker's inequalities in two parameters and its applications ⋮ Certain inequalities of Kober and Lazarevic type

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