We obtain functional inequalities for functions which are metric-preserving with respect to
one of the following intrinsic metrics in a canonical plane domain: hyperbolic metric or some …

We study a hyperbolic type metric $ h_ {G, c} $ introduced by Dovgoshey, Hariri, and
Vuorinen. We find the best constant $ c> 0$, for which this function $ h_ {G, c} $ is a metric in …

A new intrinsic metric called SD-metric is introduced for a general metric space (X, d), where
D is a non-trivial bounded closed subset of X. The metric SD can be used to define a …

Three hyperbolic-type metrics including the triangular ratio metric, the j∗-metric, and the
Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced …

We prove in the setting of a general metric space (X, d) the bi-Lipschitz equivalence of
generalized versions of Vuorinen's distance ratio metric, Gehring-Osgood metric …

We obtain functional inequalities for functions which are metric-preserving with respect to
one of the following intrinsic metrics in a canonical plane domain: hyperbolic metric or some …