Parameter convexity and concavity of generalized trigonometric functions
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Publication:401367
DOI10.1016/j.jmaa.2014.07.017zbMath1298.26037arXiv1402.3357OpenAlexW2067773893MaRDI QIDQ401367
Elena G. Prilepkina, Dmitriĭ Borisovich Karp
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3357
log-convexitylog-concavitygeneralized trigonometric functionsTurán type inequalityeigenfunctions of \(p\)-Laplaciangeneralized hyperbolic functions
Generalized hypergeometric series, ({}_pF_q) (33C20) Convexity of real functions in one variable, generalizations (26A51)
Related Items (7)
The inverse hyperbolic tangent function and Jacobian sine function ⋮ \(p\)-trigonometric and \(p\)-hyperbolic functions in complex domain ⋮ Inequalities and bounds for the \(p\)-generalized trigonometric functions ⋮ A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean ⋮ A survey for generalized trigonometric and hyperbolic functions ⋮ A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean ⋮ Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
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