Extensions of the generalized Wilker inequality to Bessel functions

DOI10.7153/jmi-02-35zbMath1171.33303OpenAlexW2313734256MaRDI QIDQ3596938

Árpád Baricz, József Sándor

Publication date: 9 February 2009

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

Full work available at URL: https://doi.org/10.7153/jmi-02-35

zbMATH Keywords

Bessel functionsWilker's inequalityHuygens' inequality

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities for trigonometric functions and polynomials (26D05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (16)

Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem ⋮ A method to prove inequalities and its applications ⋮ Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities ⋮ Topics in Special Functions III ⋮ Sharp Wilker-type inequalities with applications ⋮ Inequalities for hyperbolic functions and their applications ⋮ The relationship between Huygens’ and Wilker’s inequalities and further remarks ⋮ Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker ⋮ Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions ⋮ On the Wilker and Huygens-type inequalities ⋮ New Wilker-type and Huygens-type inequalities ⋮ A source of inequalities for circular functions ⋮ Generalized Wilker-type inequalities with two parameters ⋮ Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II ⋮ Some new Wilker-type inequalities for circular and hyperbolic functions ⋮ Turán type inequalities for regular Coulomb wave functions

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