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Exactly Diagonal Gram Matrices in Jacobi Weighted Histopolation
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In the current work, we study univariate polynomial weighted histopolation on , where the data are weighted integrals over a family of intervals. After choosing a polynomia…
Weighted Derivative Histopolation on Arbitrary Grids: Admissibility and Exact Factorizations
Allal Guessab, Federico Nudo
In this paper, we introduce a weighted derivative histopolation framework on families of intervals. The degrees of freedom consist of one scalar normalization and weighted integral…
Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In this paper we study a weighted histopolation problem on associated with Jacobi weights. In the first part of the present work we prove results in approximation theory,…
Polynomial interpolation--regression on the sphere
Francesco Dell'Accio, Federico Nudo, Teresa E. Pérez +1
We introduce an interpolation--regression operator for polynomial approximation on the unit sphere from discrete samples. The approximant is a spherical polynomial o…
Spectral Schur analysis of structured moment matrices for quadratic histopolation
Allal Guessab, Federico Nudo
In this paper we study parameter-dependent structured moment matrices with a canonical block form arising from weighted quadratic histopolation on simplicial meshes. For a strictly…
Generalized Probability Density Approach to Histopolation Schemes of Arbitrary Order
Gradimir V. Milovanovic, Federico Nudo
In this paper, we investigate the reconstruction of a bivariate function from weighted edge integrals on a triangular mesh, a problem of central importance in tomography, computer…