Authors: D S Lubinsky
Publish Date: 2013/03/25
Volume: 18, Issue: 2, Pages: 285-308
Abstract
Let a≥ 0 ɛ 0 We use potential theory to obtain a sharp lower bound for the linear Lebesgue measure of the set Open image in new window Here P is an arbitrary polynomial of degree ≤ n We then apply this to diagonal and ray Padé sequences for functions analytic or meromorphic in the unit ball For example we show that the diagonal left n/nright n=1 ∞ sequence provides good approximation on almost oneeighth of the circles centre 0 and the left 2n/nright n=1 ∞ sequence on almost onequarter of such circles
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