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An Inequality of the Markov–Bernstein Type for Polynomials

✍ Scribed by Mirsky, L.


Book ID
118199874
Publisher
Society for Industrial and Applied Mathematics
Year
1983
Tongue
English
Weight
268 KB
Volume
14
Category
Article
ISSN
0036-1410

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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