On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities

From MaRDI portal
Publication:3058031

DOI10.7153/mia-13-50zbMath1204.26023OpenAlexW2313972073MaRDI QIDQ3058031

Edward Neuman, József Sándor

Publication date: 18 November 2010

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-13-50




Related Items (64)

Padé approximant related to remarkable inequalities involving trigonometric functionsSome Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functionsNew bounds for the exponential function with cotangentA method to prove inequalities and its applicationsSome general Wilker-Huygens inequalitiesMonotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applicationsWilker and Huygens type inequalities for mixed trigonometric-hyperbolic functionsWilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functionsA subtly analysis of Wilker inequalityExtension of Huygens type inequalities for Bessel and modified Bessel FunctionsTopics in Special Functions IIIOn a new family of bivariate means IINew ordering relations for the Heinz means via hyperbolic functionsSharp Wilker-type inequalities with applicationsInequalities for hyperbolic functions and their applicationsOn Jordan type inequalities for hyperbolic functionsSharp exponential approximate inequalities for trigonometric functionsAsymptotic relation for zeros of cross-product of Bessel functions and applicationsUnnamed ItemThe cardinal sine function and the Chebyshev-Stirling numbersA proof of two conjectures of Chao-Ping Chen for inverse trigonometric functionsInequalities for Jacobian elliptic functions and Gauss lemniscate functionsNew sharp inequalities of Mitrinovic-Adamovic typeThe relationship between Huygens’ and Wilker’s inequalities and further remarksLazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applicationsSome New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic FunctionsWILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONSRefinements of some classical inequalities involving sinc and hyperbolic sinc functionsInequalities for hyperbolic functionsOn new Wilker-type inequalitiesOn Huygens inequalities and the theory of meansA note on Jordan, Adamović-Mitrinović, and Cusa inequalitiesA sharp double inequality for trigonometric functions and its applicationsSharp inequalities for trigonometric functionsElementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and WilkerSharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functionsOn the Wilker and Huygens-type inequalitiesSharp Cusa type inequalities with two parameters and their applicationsOn some properties of the solution set of one of Wilker's inequalities for complex numbersJordan type inequalities for hyperbolic functions and their applicationsPadé approximants for inverse trigonometric functions and their applicationsOn certain old and new trigonometric and hyperbolic inequalitiesThree families of two-parameter means constructed by trigonometric functionsOn lemniscate functionsNew Wilker-type and Huygens-type inequalitiesSharp inequalities for tangent function with applicationsOn the Cusa-Huygens inequalityNew bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functionsSome new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation methodON TWO NEW MEANS OF TWO ARGUMENTS IIINew refinements of Cusa-Huygens inequalityGeneralized Wilker-type inequalities with two parametersInequalities for the generalized trigonometric and hyperbolic functionsA minimax approximant in the theory of analytic inequalitiesSharp inequalities of Mitrinovic-Adamovic typeApproximating trigonometric functions by using exponential inequalitiesSeries representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. IISome sharp circular and hyperbolic bounds of exp(-x2) with applicationsA survey for generalized trigonometric and hyperbolic functionsAn unity of Mitrinovic-Adamovic and Cusa-Huygens inequalities and the analogue for hyperbolic functionsRefinements of Huygens-Wilker-Lazarovic inequalities via the hyperbolic cosine polynomialsOn logarithm of circular and hyperbolic functions and bounds for exp \(( \pm x^2)\)Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functionsNew inequalities for quotients of circular and hyperbolic functions




This page was built for publication: On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities