Bernstein's inequality in Lp for 0 < p < 1
β Scribed by Paul G Nevai
- Book ID
- 107776725
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 198 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π 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
An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is proved for the cme of irregular knots in L, -spaces, where 0 < p 5 +m. ## 1. Introduction Theorems on equivalent norms of trigonometric polynomials in certain metrics have many applications in the modern theor