Back to Home Page
Marco Vianello: work on Polynomial Inequalities and Norming
Meshes
online publications and preprints (downloadable pdf), with some
conference posters
see also
the software section

Near Goptimal Tchakaloff designs
draft, with L. Bos and F. Piazzon

ChebyshevDubiner norming webs
on starlike polygons
draft

Near optimal polynomial regression on norming meshes
draft, with L. Bos and F. Piazzon
Sampling Theory and Applications 2019, IEEE Xplore Digital Library, to
appear

Tchakaloff polynomial meshes
preprint, with L. Bos
Ann. Polon. Math., to appear

Dubiner distance and stability of Lebesgue constants
preprint
J. Inequal. Spec. Funct., published online April 2019

Markov
inequalities, Dubiner
distance, norming meshes and polynomial optimization
on convex bodies
preprint, with F. Piazzon
Optim. Lett., published online 01 January 2019

Near optimal Tchakaloff meshes for compact sets
with Markov exponent 2
preprint
Dolomites Res. Notes Approx. DRNA 11 (2018), 9296 (Special Issue on Norm
Levenberg's 60th birthday)

Subperiodic Dubiner distance, norming meshes and trigonometric
polynomial optimization
preprint
Optim. Lett. 12 (2018), 16591667

Discrete norming inequalities on
sections of sphere, ball and torus
preprint, with A. Sommariva
J. Inequal. Spec. Funct. 9 (2018), 113121

Global polynomial optimization by norming sets on sphere and torus
preprint
Dolomites Res. Notes Approx. DRNA 11 (2018), 1014

Stability inequalities for Lebesgue constants via Markovlike
inequalities
preprint, with F. Piazzon
Dolomites Res. Notes Approx. DRNA 11 (2018), 19

An
elementary approach to polynomial optimization on polynomial
meshes
preprint
J. Math. Fund. Sci. 50 (2018), 8491

A note on total degree polynomial optimization by Chebyshev grids
preprint, with F. Piazzon
Optim. Lett. 12 (2018), 6371

CaratheodoryTchakaloff Least Squares
preprint, with F. Piazzon and A. Sommariva
2017 International Conference on Sampling Theory and Applications
(SampTA)
IEEE Xplore Digital Library DOI: 10.1109/SAMPTA.2017.8024337

Optimal
polynomial meshes and
CaratheodoryTchakaloff submeshes
on the sphere
preprint, with P. Leopardi and A. Sommariva
Dolomites Res. Notes Approx. DRNA 10 (2017), 1824

CaratheodoryTchakaloff
Subsampling
with F. Piazzon and A. Sommariva
Dolomites Res. Notes Approx. DRNA 10 (2017), 514
poster presented
at DWCAA16, Canazei (Italy), 2016

Jacobi norming meshes
preprint, with F. Piazzon
Math. Inequal. Appl. 19 (2016), 10891095
 Compressed
sampling
inequalities by Tchakaloff's theorem
preprint
Math. Inequal. Appl. 19 (2016), 395400
 Polynomial
Meshes: Computation and Approximation
preprint, with S. De Marchi, F. Piazzon and A. Sommariva
Proceeedings of CMMSE 2015, 414425, ISBN 9788461722303, ISSN
23120177
 Compression of multivariate discrete
measures and
applications
preprint, with A. Sommariva
Numer. Funct. Anal. Optim. 36 (2015), 11981223
 Polynomial fitting and interpolation on
circular sections
preprint, with A. Sommariva
Appl. Math. Comput. 258 (2015), 410424
 Constructing
optimal polynomial meshes
on planar starlike domains
with F. Piazzon
Dolomites Res. Notes Approx. DRNA 7 (2014), 2225
 Norming meshes by Bernsteinlike
inequalities
preprint
Math. Inequal. Appl. 17 (2014), 929936
 Suboptimal polynomial meshes
on planar Lipschitz domains
preprint, with F. Piazzon
Numer. Funct. Anal. Optim. 35 (2014), 14671475
 Polynomial
approximation on pyramids, cones
and solids of
rotation
with S. De Marchi
Dolomites Res. Notes Approx. DRNA 6 (2013), 2026

Small perturbations of polynomial meshes
preprint, with F. Piazzon
Appl. Anal. 92 (2013), 10631073

Low cardinality admissible meshes on quadrangles, triangles and
disks
preprint, with L. Bos
Math. Inequal. Appl. 15 (2012), 229235

Geometric Weakly Admissible Meshes, Discrete Least Squares
Approximations and Approximate Fekete Points
preprint, with L. Bos, J.P. Calvi, N. Levenberg and A.
Sommariva
Math. Comp. 80 (2011), 16011621

Weakly Admissible Meshes and Discrete Extremal Sets
preprint, with L. Bos, S. De Marchi and A. Sommariva
Numer. Math. Theory Methods Appl. 4 (2011), 112

Analytic transformations of admissible meshes
preprint, with F. Piazzon
East J. Approx. 16 (2010), 313322

Leastsquares polynomial approximation on weakly admissible
meshes: disk and triangle
preprint, with L. Bos and A. Sommariva
J. Comput. Appl. Math. 235 (2010), 660668