Generic Approximation of functions by their padé approximants, II

2011/05/01 by Fournodavlos, G.
#30E10 #30K05 #30K99 #41A10 #41A20 #Complex Variables (math.CV) #FOS: Mathematics #primary 41A21 #secondary 30B10

paper · doi:10.48550/arxiv.1105.0170

Abstract

In \cite5 we proved that generically functions defined in any open set can be approximated by a sequense of their padé approximants, in the sense of uniform convergence on compacta. In this paper we examine a more particular space, A^∞(Ω), and prove that we can obtain similar approximation results with functions smooth on the boundary.

Related

• Generic approximation of functions by their Padé approximants
• Generic Approximation of functions by their padé approximants, I
• Universal Padé approximants on simply connected domains
• Universal Padé Approximation
• Universal Padé approximants and their behaviour on the boundary