Marco Vianello: work on Polynomial Inequalities and Norming Meshes

online publications and preprints (downloadable pdf), with some conference posters
see also the software section

1. CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes
   preprint, with D. Kenne and A. Sommariva
   JAS - J. Approx. Software 1, 2 (2024)
   
   
2. Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball
   arXiv:2311.18656, with L. Bialas-Ciez, D. Kenne and A. Sommariva
   Electron. Trans. Numer. Anal. 60 (2024), 428--445
   
   
3. Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections
   preprint, with L. Bialas-Ciez, D. Kenne and A. Sommariva
   J. Comput. Appl. Math. 443 (2024)
   
   
4. Near-optimal polynomial interpolation on spherical triangles
   preprint, with A. Sommariva
   Mediterr. J. Math. 19 (2022)
   
   
5. Near G-optimal Tchakaloff designs
   preprint, with L. Bos and F. Piazzon
   Comput. Statistics 35 (2020), 803--819
   
   
6. Near optimal polynomial regression on norming meshes
   preprint, with L. Bos and F. Piazzon
   Sampling Theory and Applications 2019, IEEE Xplore Digital Library, DOI: 10.1109/SampTA45681.2019.9030910
   
   
7. Chebyshev-Dubiner norming webs on starlike polygons
   preprint
   J. Inequal. Spec. Funct. 10-3 (2019), 26--32
   
   
8. Tchakaloff polynomial meshes
   preprint, with L. Bos
   Ann. Polon. Math. 122 (2019), 221--231
   
   
9. Dubiner distance and stability of Lebesgue constants
   preprint
   J. Inequal. Spec. Funct. 10-2 (2019), 49--60
   
   
10. Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies
    preprint, with F. Piazzon
    Optim. Lett. 13 (2019), 1325--1343
    
    
11. Near optimal Tchakaloff meshes for compact sets with Markov exponent 2
    preprint
    Dolomites Res. Notes Approx. DRNA 11 (2018), 92--96 (Special Issue on Norm Levenberg's 60th birthday)
    
    
12. Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization
    preprint
    Optim. Lett. 12 (2018), 1659--1667
    
    
13. Discrete norming inequalities on sections of sphere, ball and torus
    preprint, with A. Sommariva
    J. Inequal. Spec. Funct. 9-2 (2018), 113--121
    
    
14. Global polynomial optimization by norming sets on sphere and torus
    preprint
    Dolomites Res. Notes Approx. DRNA 11 (2018), 10--14
    
    
15. Stability inequalities for Lebesgue constants via Markov-like inequalities
    preprint, with F. Piazzon
    Dolomites Res. Notes Approx. DRNA 11 (2018), 1--9
    
    
16. An elementary approach to polynomial optimization on polynomial meshes
    preprint
    J. Math. Fund. Sci. 50 (2018), 84--91
    
    
17. A note on total degree polynomial optimization by Chebyshev grids
    preprint, with F. Piazzon
    Optim. Lett. 12 (2018), 63--71
    
    
18. Caratheodory-Tchakaloff 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
    
    
19. Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
    preprint, with P. Leopardi and A. Sommariva
    Dolomites Res. Notes Approx. DRNA 10 (2017), 18--24
    
    
20. Caratheodory-Tchakaloff Subsampling
    with F. Piazzon and A. Sommariva
    Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14
    poster presented at DWCAA16, Canazei (Italy), 2016
    
    
21. Jacobi norming meshes
    preprint, with F. Piazzon
    Math. Inequal. Appl. 19 (2016), 1089--1095
    
    
22. Compressed sampling inequalities by Tchakaloff's theorem
    preprint
    Math. Inequal. Appl. 19 (2016), 395--400
    
    
23. Polynomial Meshes: Computation and Approximation
    preprint, with S. De Marchi, F. Piazzon and A. Sommariva
    Proceeedings of CMMSE 2015, 414--425, ISBN 978-84-617-2230-3, ISSN 2312-0177
    
    
24. Compression of multivariate discrete measures and applications
    preprint, with A. Sommariva
    Numer. Funct. Anal. Optim. 36 (2015), 1198--1223
    
    
25. Polynomial fitting and interpolation on circular sections
    preprint, with A. Sommariva
    Appl. Math. Comput. 258 (2015), 410--424
    
    
26. Constructing optimal polynomial meshes on planar starlike domains
    with F. Piazzon
    Dolomites Res. Notes Approx. DRNA 7 (2014), 22--25
    
    
27. Norming meshes by Bernstein-like inequalities
    preprint
    Math. Inequal. Appl. 17 (2014), 929--936
    
    
28. Sub-optimal polynomial meshes on planar Lipschitz domains
    preprint, with F. Piazzon
    Numer. Funct. Anal. Optim. 35 (2014), 1467--1475
    
    
29. Polynomial approximation on pyramids, cones and solids of rotation
    with S. De Marchi
    Dolomites Res. Notes Approx. DRNA 6 (2013), 20--26
    
    
30. Small perturbations of polynomial meshes
    preprint, with F. Piazzon
    Appl. Anal. 92 (2013), 1063--1073
    
    
31. Low cardinality admissible meshes on quadrangles, triangles and disks
    preprint, with L. Bos
    Math. Inequal. Appl. 15 (2012), 229--235
    
    
32. 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), 1601--1621
    
    
33. Weakly Admissible Meshes and Discrete Extremal Sets
    preprint, with L. Bos, S. De Marchi and A. Sommariva
    Numer. Math. Theory Methods Appl. 4 (2011), 1--12
    
    
34. Analytic transformations of admissible meshes
    preprint, with F. Piazzon
    East J. Approx. 16 (2010), 313--322
    
    
35. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle
    preprint, with L. Bos and A. Sommariva
    J. Comput. Appl. Math. 235 (2010), 660--668