Bernstein’s Inequality for Algebraic Polynomials on Circular Arcs
✍ Scribed by Nagy, Béla; Totik, Vilmos
- Book ID
- 111696748
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 400 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
Orthogonal polynomials theory on a circular arc was apparently first developed by N. I. Akhiezer, who announced his asymptotic formulas for orthogonal polynomials on and off the support of orthogonality measure in a short note in Doklady AN SSSR. We present here a rigorous exposition of Akhiezer's r