4 papers · 1 filter
The Lebesgue constant for uniform approximation of differential forms
Ludovico Bruni Bruno, Fwderico Piazzon
In this work we address the problem of uniform approximation of differential forms starting from weak data defined by integration on rectifiable sets. We study approximation scheme…
On the conditioning of polynomial histopolation
Ludovico Bruni Bruno, Stefano Serra-Capizzano
Histopolation is the approximation procedure that associates a degree polynomial with a locally integrable function imposing tha…
A pluripotential theoretic framework for polynomial interpolation of vector-valued functions and differential forms
Ludovico Bruni Bruno, Federico Piazzon
We consider the problem of uniform interpolation of functions with values in a complex inner product space of finite dimension. This problem can be casted within a modified weighte…
Sampling, approximation, and interpolation of differential forms by admissible integral k-meshes
Ludovico Bruni Bruno, Federico Piazzon
In this work we introduce the concept of admissible integral -mesh for sampling differential forms with contiuous coefficients on a real body , and provide two te…