We give an estimate of Siciak’s extremal function for compact subsets of algebraic varieties in (resp. ). As an application we obtain Bernstein-Walsh and tangential Markov type inequalities for (the traces of) polynomials on algebraic sets.
@article{bwmeta1.element.bwnjournal-article-smv141i3p209bwm, author = {M. Baran and W. Ple\'sniak}, title = {Polynomial inequalities on algebraic sets}, journal = {Studia Mathematica}, volume = {141}, year = {2000}, pages = {209-219}, zbl = {0987.41006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv141i3p209bwm} }
Baran, M.; Pleśniak, W. Polynomial inequalities on algebraic sets. Studia Mathematica, Tome 141 (2000) pp. 209-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv141i3p209bwm/
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