@article {400,
	title = {Near optimal Tchakaloff meshes for compact sets with Markov exponent 2},
	journal = {Dolomites Research Notes on Approximation},
	volume = {11},
	year = {2018},
	month = {11/2018},
	pages = {92-96},
	publisher = {Padova University Press},
	address = {Padova, IT},
	abstract = {<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>By a discrete version of Tchakaloff Theorem on positive quadrature formulas, we prove that any real multidimensional compact set admitting a Markov polynomial inequality with exponent 2 possesses a near optimal polynomial mesh. This improves for example previous results on general convex bodies and starlike bodies with Lipschitz boundary, being applicable to any compact set satisfying a uniform interior cone condition. We also discuss two algorithmic approaches for the computation of near optimal Tchakaloff meshes in low dimension.\&nbsp;</span></p></div></div></div>},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2018-4-10},
	url = {https://drna.padovauniversitypress.it/2018/4/10},
	author = {Marco Vianello}
}