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Counter-examples to Markov and Bernstein inequalities

✍ Scribed by P Goetgheluck; W Pleśniak


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
335 KB
Volume
69
Category
Article
ISSN
0021-9045

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An infinite Markov system \(\left\{f_{0}, f_{1}, \ldots\right\}\) of \(C^{2}\) functions on \([a, b]\) has dense span in \(C[a, b]\) if and only if there is an unbounded Bernstein inequality on every subinterval of \([a, b]\). That is if and only if, for each \([\alpha, \beta]=[a, b], \alpha \neq \b

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