on spaces of homogeneous type: a density result on - spaces.
Ball versus distance convexity of metric spaces.
Best constants for metric space inversion inequalities
For every metric space (X, d) and origin o ∈ X, we show the inequality I o(x, y) ≤ 2d o(x, y), where I o(x, y) = d(x, y)/d(x, o)d(y, o) is the metric space inversion semimetric, d o is a metric subordinate to I o, and x, y ∈ X o The constant 2 is best possible.
Best simultaneous approximations
In this paper we study simultaneous approximation of real-valued functions in and give a generalization of some related results.
Bi-Lipschitz embeddings into low-dimensional Euclidean spaces