251 citations · 827 across the 103 of their papers we have counts for
15 papers · 1 filter
Balls in the triangular ratio metric
Sami Hokuni, Riku Klén, Yaxiang Li +1
We consider the triangular ratio metric and estimate the radius of convexity for balls in some special domains and prove the inclusion relations of metric balls defined by the tria…
On Quasi-inversions
David Kalaj, Matti Vuorinen, Gendi Wang
Given a bounded domain strictly starlike with respect to we define a quasi-inversion w.r.t. the boundary We show that the qu…
Subdomain geometry of hyperbolic type metrics
Riku Klén, Yaxiang Li, Matti Vuorinen
Given a domain $G \subsetneq \Rn$ we study the quasihyperbolic and the distance ratio metrics of and their connection to the corresponding metrics of a subdomain .…
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.
Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces
Y. Li, M. Vuorinen, X. Wang
Suppose that and denote real Banach spaces with dimension at least 2 and that and are uniform domains with homogeneously dense boun…