N-Width and Entropy of H(p)-Classes in L(q)(-1,1).
Abstract
For analytic functions many of the standard approximation processes converge at an exponential rate. Using more sophisticated methods, it is still possible to obtain exponential convergence, even in the presence of singularities at the endpoints of an interval of approximation. In this paper we obtain precise upper and lower bounds for optimal convergence rates of approximation processes for the natural imbeddings of Hardy spaces into L sub Q (-1,1) in the sense of n-width, approximation numbers (linear n-width) and also entropy. This makes it possible to assess the optimality of bounds previously obtained for special approximation operators.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1982
- Accession Number
- ADA124346
Entities
People
- H. G. Burchard
- K. Hollig
Organizations
- University of Wisconsin–Madison