Geodesic
Sets with the Bernstein and generalized Markov properties
Mirosław Baran1 ; Agnieszka Kowalska2
1Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2Institute of Mathematics Pedagogical University Podchorążych 2 30-084 Kraków, Poland
Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 259-270
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It is known that for $C^{\infty }$ 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 $C^{\infty }$ determining. In this paper we give examples of sets which are not $C^{\infty }$ determining, but have the Bernstein and generalized Markov properties.
DOI : 10.4064/ap111-3-4
Keywords: known infty determining sets markovs property equivalent bernsteins property interested finding generalization sets which infty determining paper examples sets which infty determining have bernstein generalized markov properties

Mirosław Baran  1   ; Agnieszka Kowalska  2

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 Institute of Mathematics Pedagogical University Podchorążych 2 30-084 Kraków, Poland 
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     title = {Sets with the {Bernstein} and generalized {Markov} properties},
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Mirosław Baran; Agnieszka Kowalska. Sets with the Bernstein and generalized Markov properties. Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 259-270. doi: 10.4064/ap111-3-4

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