Polynomial Approximation in Ep(D) with 0 < p < 1
β Scribed by L.F. Zhong
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 276 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note we will show that for \(0<p<1\) simultaneous polynomial approximation is not possible. "1995 Academic Press. Inc.
In this paper we show that the best approximation of a convex function by convex algebraic polynomials in \(L_{p}, 1 \leqslant p<x\), is \(O\left(n^{-2 / p}\right)\). 1993 Academic Press. Inc.
For # # (0, 1Γ2] we construct n-dimensional polynomial subspaces Y n of C[&1, 1] and L 1 (&1, 1) such that the relative projection constants \*(Y n , C[&1, 1]) and \*(Y n , L 1 (&1, 1)) grow as n # . These subspaces are spanned by Chebyshev polynomials of the first and second kind, respectively. The
With the affine part of an oval we associate a family of d-subspaces of PG(2d + 1, 2) which can be thought of as a higher dimensional analogue of a hyperoval. The isomorphisms among such families together with their automorphisms are determined when they come from translation ovals.