Mean Convergence of Lagrange Interpolation for Exponential weights on [-1, 1]
1998 ◽
Vol 50
(6)
◽
pp. 1273-1297
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Keyword(s):
AbstractWe obtain necessary and sufficient conditions for mean convergence of Lagrange interpolation at zeros of orthogonal polynomials for weights on [-1, 1], such asw(x) = exp(-(1 - x2)-α), α > 0orw(x) = exp(-expk(1 - x2)-α), k≥1, α > 0,where expk = exp(exp(. . . exp( ) . . .)) denotes the k-th iterated exponential.
Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights
1996 ◽
Vol 48
(4)
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pp. 710-736
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2003 ◽
Vol 2003
(33)
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pp. 2083-2095
Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Freud Weights
1995 ◽
Vol 26
(1)
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pp. 238-262
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1996 ◽
Vol 48
(4)
◽
pp. 737-757
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1996 ◽
Vol 39
(1)
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pp. 117-128
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1996 ◽
Vol 19
(4)
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pp. 643-656
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1983 ◽
Vol 14
(3)
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pp. 622-637
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1986 ◽
Vol 23
(04)
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pp. 851-858
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