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Oscillation of Fourier transforms and Markov–Bernstein inequalities

✍ Scribed by Szilárd Gy. Révész; Noli N. Reyes; Gino Angelo M. Velasco

Book ID
108159009
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
183 KB
Volume
145
Category
Article
ISSN
0021-9045

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Dense Markov Spaces and Unbounded Bernst
Dense Markov Spaces and Unbounded Bernstein Inequalities
✍ P. Borwein; T. Erdelyi 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 323 KB

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