A note on adaptive approximation in Sobolev spaces
β Scribed by Song-Tao Liu
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 126 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
A convex function \(f\) given on \([-1,1]\) can be approximated in \(L_{r}, 1<p<x\). by convex polynomials \(P_{n}\) of degree at most \(n\) with the accuracy \(o\left(n^{-2 i p}\right)\). This follows from the estimate \(\left\|f-P_{n}\right\|_{p} \leqslant c \cdot n^{-2 / p} \cdot \omega_{2}^{\var
## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ β β^n^ is a bounded domain. The boundary Ξ΄__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt
The aim of this note is to fill in a gap in our previous paper in this journal. Precisely, we give a new proof of the following theorem: let (0, A, +) be a \_-finite measure space with +(0)>0, 0<p<+ , and Y a separable subspace of a Banach space X. Then Y is proximinal in X iff L p (+, Y) is proximi