Abstract
AbstractWe show that if m, n ≥ 0, λ > 1, and R is a rational function with numerator, denominator of degree ≤ m, n, respectively, then there exists a set ⊂ [0, 1] of linear measure such that for r ∈ ,Here, one may not replace , for any ε > 0. As our motivating application, we prove a convergence result for diagonal Padé approximants for functions meromorphic in the unit ball.
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