Maximal-Simultaneous Approximation by Faber Series in Bergman Spaces Defined on Unbounded Continuums
Abstract
In this study, we examine the problem of maximal simultaneous approximation in Bergman spaces defined over unbounded continuum of the complex plane, using classical Faber series.We derive upper bounds for the approximation error that explicitly depend on the best polynomial approximation numbers, as well as on structural parameters of the canonical domain under consideration.These results provide quantitative insights into how the geometry of the domain influences the convergence behavior of the Faber series.
Fields of Study & Subjects
Holomorphic and Operator Theory
Mathematical functions and polynomials
Analytic and geometric function theory
Publication details
- Journal / source
- Azerbaijan Journal of Mathematics
- Issue
- 01
- Pages
- 67–67
- Publication date
- 1 January 2026