Weighted Approximation with Varying Weig
β Vilmos Totik (auth.)
π Library
π
1994
π Springer-Verlag Berlin Heidelberg
π English
β¦ LIBER β¦
π
Weighted Approximation with Varying Weight (Lecture Notes in Mathematics, 1569)
β Scribed by Vilmos Totik
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Leaves
- 119
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptotics for the leading coefficients of the corresponding orthogonal polynomials. The method is also modified toyield (in a sense) uniformly good approximation on the whole support. This allows one to deduce strong asymptotics in some L p(uppercase) extremal problems with varying weights. Applications are given, relating to fast decreasing polynomials, asymptotic behavior of orthogonal polynomials and multipoint Pade approximation. The approach is potential-theoretic, but the text is self-contained.
π SIMILAR VOLUMES
Weighted Approximation with Varying Weig
β Vilmos Totik
π Library
π
1994
π Springer
π English
Weighted Hardy Spaces (Lecture Notes in
β Jan-Olov StrΓΆmberg, Alberto Torchinsky
π Library
π
1989
π Springer
π English
<span>These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace t
Weighted Expansions for Canonical Desing
β Shreeram S. Abhyankar
π Library
π
1982
π Springer
π English
<span>Book by Abhyankar, Shreeram</span>
Strong Asymptotics for Extremal Polynomi
β Doron S. Lubinsky
π Library
π
1988
π Springer
π English
<span>0. The results are consequences of a strengthened form of the following assertion: Given 0 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the t
Weighted Energy Methods in Fluid Dynamic
β Giovanni P. Galdi
π Library
π
1985
π Springer
π English