2012/03/22 by J. Cacoq, Cacoq, J., B. de la Calle Ysern +3
Mathematics · #41A21 #41A27 (Secondary) #41A28 (Primary) 41A25 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #math.CA #math.CV #msc:41A21 #msc:41A25 #msc:41A27 #msc:41A28
paper · pdf · doi:10.48550/arxiv.1203.4947
27 pages
arxiv created 2012/03/22 · openalex publication_date 2012/03/22 · arxiv updated 2015/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.