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RESEARCH PRODUCT
Functional inequalities for generalized inverse trigonometric and hyperbolic functions
ÁRpád BariczBarkat Ali BhayoTibor K. Pogánysubject
ta113Pure mathematicsGeneralized inverseBernoulli's inequalityGeneralized inverse trigonometric functions; Generalized inverse hyperbolic functions; Functional inequalities; Generalized hypergeometric 3F2 functionApplied MathematicsHyperbolic functionMathematics::Classical Analysis and ODEsHypergeometric distributionClausen functionMathematics - Classical Analysis and ODEsBounding overwatchClassical Analysis and ODEs (math.CA)FOS: MathematicsTrigonometry33B99 26D15 33C20 33C99AnalysisQuotientMathematicsdescription
Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for sums, difference and quotient of generalized inverse trigonometric and hyperbolic functions are given, as well as some Gr\"unbaum inequalities with the aid of the classical Bernoulli inequality. Moreover, by means of certain already derived bounds, bilateral bounding inequalities are obtained for the generalized hypergeometric ${}_3F_2$ Clausen function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-20 | Journal of Mathematical Analysis and Applications |