Abstract
A classic theorem of Approximation Theory states the uniform convergence of the best approximation polynomials, concerning the Banach space $C$ of all real-valued continuous functions defined on the interval $[-1,1]$ of $\mathbb{R}$, in supremum norm. By contrast, the main result of this paper highlights the phenomenon of double condensation of singularities (meaning unbounded divergence on large subsets of $C$ and $[-1,1]$, in topological sense) for the discrete best approximation on Chebyshev nodes.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
