Inequalities for the generalized trigonometric and hyperbolic functions
Copyright policy )Inequalities for the generalized trigonometric and hyperbolic functions
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional $p-$Laplacian. The generalized hyperbolic functions are defined similarly. Some classical inequalities for trigonometric and hyperbolic functions, such as Mitrinovi��-Adamovi�� inequality, Lazarevi��'s inequality, Huygens-type inequalities, Wilker-type inequalities, and Cuza-Huygens-type inequalities, are generalized to the case of generalized functions.
12 pages
- University of Turku Finland
Mitrinović-Adamović's inequality Lazarević's inequality, Generalized hypergeometric series, \({}_pF_q\), ta111, 33B10, Cusa-Huygens-type inequalities, generalized trigonometric functions, Mathematics - Classical Analysis and ODEs, Huygens-type inequalities, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Wilker-type inequalities, generalized hyperbolic functions
Mitrinović-Adamović's inequality Lazarević's inequality, Generalized hypergeometric series, \({}_pF_q\), ta111, 33B10, Cusa-Huygens-type inequalities, generalized trigonometric functions, Mathematics - Classical Analysis and ODEs, Huygens-type inequalities, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Wilker-type inequalities, generalized hyperbolic functions
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