0000000000623801

AUTHOR

Matti Vuorinen

showing 2 related works from this author

Linear Approximation Property, Minkowski Dimension, and Quasiconformal Spheres

1990

010101 applied mathematicsProperty (philosophy)General Mathematics010102 general mathematicsMathematical analysisMinkowski–Bouligand dimensionSPHERESLinear approximation0101 mathematics01 natural sciencesMathematicsJournal of the London Mathematical Society
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Turán type inequalities for generalized inverse trigonometric functions

2013

In this paper we study the inverse of the eigenfunction $\sin_p$ of the one-dimensional $p$-Laplace operator and its dependence on the parameter $p$, and we present a Tur\'an type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Tur\'an type inequality for a series considered by Ramanujan, involving the digamma function.

Bernstein functionsPure mathematicsTurán-type inequalitiesGeneralized inverseSeries (mathematics)General Mathematics33C99 33B99ta111Hyperbolic functionMathematics::Classical Analysis and ODEsInverseEigenfunctions of p-LaplacianEigenfunctionRamanujan's sumGeneralized trigonometric functionsymbols.namesakeDigamma functionMathematics - Classical Analysis and ODEsCompletely monotone functionsLog-convexitysymbolsTrigonometric functionsLog-concavityMathematicsFilomat
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