Best \(L^p\)-approximant pair on small intervals. (English) Zbl 1390.41014
Authors’ abstract: In this paper, we study the behavior of best \(L^p\)-approximations by algebraic polynomial pairs on unions of intervals when the measure of those intervals tends to zero.
Reviewer: Francisco Pérez Acosta (La Laguna)
MSC:
41A20 | Approximation by rational functions |
41A21 | Padé approximation |
32A10 | Holomorphic functions of several complex variables |