6 citations · 13 across the 13 of their papers we have counts for
3 papers · 2 filters
Convex analysis in normed spaces and metric projections onto convex bodies
Vitor Balestro, Horst Martini, Ralph Teixeira
We investigate metric projections and distance functions referring to convex bodies in finite-dimensional normed spaces. For this purpose we identify the vector space with its dual…
Asymmetry measures for convex distance functions
Vitor Balestro, Horst Martini, Ralph Teixeira
Gauges, or convex distance functions are, roughly speaking, norms without symmetry. In this paper we intend to quantify how asymmetric a planar gauge can be. We introduce asymmetry…
Duality of gauges and symplectic forms in vector spaces
Vitor Balestro, Horst Martini, Ralph Teixeira
A gauge in a vector space is a distance function given by the Minkowski functional associated to a convex body containing the origin in its interior. Thus, the outcomin…