Functional inequalities for generalized inverse trigonometric and hyperbolic functions

DOI10.1016/j.jmaa.2014.03.039zbMath1309.33002arXiv1401.4863OpenAlexW2963096604WikidataQ110224754 ScholiaQ110224754MaRDI QIDQ489009

Árpád Baricz, Tibor K. Pogány, Barkat Ali Bhayo

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4863

zbMATH Keywords

functional inequalitiesgeneralized hypergeometric \(_3F_2\) functiongeneralized inverse hyperbolic functionsgeneralized inverse trigonometric functions

Mathematics Subject Classification ID

Exponential and trigonometric functions (33B10)

Related Items (10)

On generalized complete \((p, q)\)-elliptic integrals ⋮ \(p\)-trigonometric and \(p\)-hyperbolic functions in complex domain ⋮ Inequalities and bounds for the \(p\)-generalized trigonometric functions ⋮ Parameter convexity and concavity of generalized trigonometric functions ⋮ New solutions to Legendre's incomplete elliptic integrals of the first and second kinds and \(p\)-elliptic integrals ⋮ On certain new means generated by generalized trigonometric functions ⋮ Monotonicity and inequalities related to the generalized inverse lemniscate functions ⋮ Functional inequalities for generalized complete elliptic integrals with two parameters ⋮ 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

Uses Software

• DLMF

Cites Work

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