On the Maximum and Minimum Modulus of Rational Functions
2000 ◽
Vol 52
(4)
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pp. 815-832
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Keyword(s):
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.
1999 ◽
Vol 105
(1-2)
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pp. 285-297
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2002 ◽
Vol 18
(2)
◽
pp. 285-308
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1998 ◽
Vol 46
(9)
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pp. 2448-2457
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1974 ◽
Vol 11
(3)
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pp. 225-230
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Keyword(s):
2019 ◽
Vol 33
(29)
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pp. 1950353
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Padé approximants, density of rational functions in A∞(Ω) and smoothness of the integration operator
2015 ◽
Vol 423
(2)
◽
pp. 1514-1539
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1980 ◽
Vol 28
(2)
◽
pp. 120-131
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1979 ◽
pp. 338-351
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Keyword(s):