Sets with the Bernstein and generalized Markov properties

• Autorzy: Mirosław Baran , Agnieszka Kowalska
• Języki publikacji: EN

Abstrakty

EN

It is known that for $C^{∞}$ determining sets Markov's property is equivalent to Bernstein's property. We are interested in finding a generalization of this fact for sets which are not $C^{∞}$ determining. In this paper we give examples of sets which are not $C^{∞}$ determining, but have the Bernstein and generalized Markov properties.

Kategorie tematyczne

• 14P05: Real algebraic sets
• 14P10: Semialgebraic sets and related spaces
• 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 3
• Strony: 259-270

Daty

wydano

2014

Twórcy

autor

Mirosław Baran

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Agnieszka Kowalska

• Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/ap111-3-4