51 citations · 98 across the 40 of their papers we have counts for
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Convergent Interpolation to Cauchy Integrals over Analytic Arcs
Laurent Baratchart, Maxim Yattselev
We consider multipoint Padé approximation to Cauchy transforms of complex measures. We show that if the support of a measure is an analytic Jordan arc and if the measure itself is…
Meromorphic Approximants to Complex Cauchy Transforms with Polar Singularities
Laurent Baratchart, Maxim Yattselev
We study AAK-type meromorphic approximants to functions , where is a sum of a rational function and a Cauchy transform of a complex measure with compact regular supp…
Ratios of Norms for Polynomials and Connected n-width Problems
V. A. Prokhorov, E. B. Saff, M. Yattselev
Let G be a bounded simply connected domain and E be a regular compact subset of G with connected complement. We investigate the asymptotic behavior of the Kolmogorov k-width, k=k(n…
Multipoint Padé Approximants to Complex Cauchy Transforms with Polar Singularities
L. Baratchart, M. Yattselev
We study diagonal multipoint Padé approximants to sums of a Cauchy transform of a complex measure and a rational function. The measure is assumed to have compact regular support in…