Wilker and Huygens- type inequalities for the generalized trigonometric and for the generalized hyperbolic functions

Wilker and Huygens-type inequalities for the generalized trigonometric and hyperbolic functions are established. Main results of this paper are proven with the aid of two inequalities which involve a few parameters. For special values of the parameters obtained results simplify to the known ones whi...

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Vydáno v:Applied mathematics and computation Ročník 230; s. 211 - 217
Hlavní autor: Neuman, Edward
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.03.2014
Témata:
Computation
Generalized hyperbolic functions
Generalized trigonometric functions
Hyperbolic functions
Inequalities
Mathematical analysis
Mathematical models
Wilker and Huygens- type inequalities
Generalized trigonometric functions
Wilker and Huygens- type inequalities
Generalized hyperbolic functions
Inequalities
ISSN:0096-3003, 1873-5649
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Shrnutí:Wilker and Huygens-type inequalities for the generalized trigonometric and hyperbolic functions are established. Main results of this paper are proven with the aid of two inequalities which involve a few parameters. For special values of the parameters obtained results simplify to the known ones which are already published in mathematical literature.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.12.136