Weighted Approximation with Varying Weight

by Vilmos Totik

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 wn( = uppercase)Pn( = 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...

• Format: Paperback
• Language: English
• ISBN: 354057705X
• ISBN13: 9783540577058
• Release Date: February 1994
• Publisher: Springer
• Length: 118 Pages
• Weight: 0.41 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"