Markov–Bernstein Type Inequalities for Multivariate Polynomials on Sets with Cusps
✍ Scribed by A. Kroó; J. Szabados
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 246 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0021-9045
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📜 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
The principal result of this paper is the following Markov-type inequality for Mu ntz polynomials. Theorem (Newman's Inequality in L p [a, b] for [a, b]/(0, )). Let 4 := (\\* j ) j=0 be an increasing sequence of nonnegative real numbers. Suppose \\* 0 =0 and there exists a $>0 so that \\* j $j for e