251 citations · 827 across the 103 of their papers we have counts for
18 papers · 1 filter
Lipschitz conditions, triangular ratio metric, and quasiconformal maps
Jiaolong Chen, Parisa Hariri, Riku Klén +1
The triangular ratio metric is studied in subdomains of the complex plane and Euclidean -space. Various inequalities are proven for it. The main results deal with the behavior o…
Turán type inequalities for generalized inverse trigonometric functions
Árpád Baricz, Barkat Ali Bhayo, Matti Vuorinen
In this paper we study the inverse of the eigenfunction of the one-dimensional -Laplace operator and its dependence on the parameter , and we present a Turán type in…
Inequalities for the generalized trigonometric and hyperbolic functions
Riku Klén, Matti Vuorinen, Xiaohui Zhang
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional Laplacian. The generalized hyperbolic functions are defined s…
Power mean inequality of generalized trigonometric functions
Barkat Ali Bhayo, Matti Vuorinen
We study the convexity/concavity properties of the generalized -trigonometric functions in the sense of P. Lindqvist with respect to the power means.
Topics in special functions III
Glen D. Anderson, Matti Vuorinen, Xiaohui Zhang
The authors survey recent results in special functions of classical analysis and geometric function theory, in particular the circular and hyperbolic functions, the gamma function,…
On exterior moduli of quadrilaterals and special functions
Matti Vuorinen, Xiaohui Zhang
In this paper two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved. Some functional inequalities and elementary e…