most citedGeneralized Nikolskii's property and asymptotic exponent in Markov's inequality

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NA2025

Polynomial meshes on algebraic sets

Leokadia Bialas-Ciez, Agnieszka Kowalska, Alvise Sommariva

Polynomial meshes (called sometimes "norming sets") allow us to estimate the supremum norm of polynomials on a fixed compact set by the norm on its discrete subset. We give a gener…

math.CV2017★ 2 cited

Generalized Nikolskii's property and asymptotic exponent in Markov's inequality

Miroslaw Baran, Agnieszka Kowalska

We introduce an asymptotic Markov's exponent and show that it is equal to Markov's exponent for a wide class of norms. As a consequence we obtain a lower bound for the optimal expo…