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Note on a conjecture about Bernstein type inequalities for multivariate polynomials

✍ Scribed by Nikola Naidenov


Publisher
Springer
Year
2007
Tongue
English
Weight
129 KB
Volume
33
Category
Article
ISSN
0133-3852

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📜 SIMILAR VOLUMES


A Markov–Bernstein Type Inequality for A
✍ Vladimir Operstein 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 213 KB

We prove a weighted inequality for algebraic polynomials and their derivatives in L p [&1, 1] when 0< p<1. This inequality plays the same role in the proofs of inverse theorems for algebraic polynomial approximation in L p as the classical Bernstein inequality does in the case of trigonometric polyn