6 citations · 13 across the 13 of their papers we have counts for
5 papers · 2 filters
Angles in normed spaces
Vitor Balestro, Ákos G. Horváth, Horst Martini +1
The concept of angle, angle functions, and the question how to measure angles present old and well-established mathematical topics referring to Euclidean space, and there exist als…
A new construction of Radon curves and related topics
Vitor Balestro, Horst Martini, Ralph Teixeira
We present a new construction of Radon curves which only uses convexity methods. In other words, it does not rely on an auxiliary Euclidean background metric (as in the classical w…
Geometric constants for quantifying the difference between orthogonality types
Vitor Balestro, Horst Martini, Ralph Teixeira
This paper is devoted to introduce new geometric constants that quantify the difference between Roberts orthogonality and Birkhoff orthogonality in normed planes. We start by chara…
Optimal constants in normed planes
Vitor Balestro, Horst Martini, Ralph Teixeira
We define new geometric constants for normed planes, determine their optimal values, and characterize types of planes for which these optimal values are attained. Relations of thes…
Geometric properties of a sine function extendable to arbitrary normed planes
Vitor Balestro, Horst Martini, Ralph Teixeira
In this paper we study a metric generalization of the sine function which can be extended to arbitrary normed planes. We derive its main properties and give also some characterizat…