Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes

1993 ◽  
Vol 163 (1) ◽  
pp. 73-92 ◽  
Author(s):  
Giuliana Criscuolo ◽  
Guiseppe Mastroianni ◽  
Paul Nevai
1991 ◽  
Vol 34 (3) ◽  
pp. 385-396 ◽  
Author(s):  
Giuseppe Mastroianni ◽  
Paul Nevai

1998 ◽  
Vol 50 (6) ◽  
pp. 1273-1297 ◽  
Author(s):  
D. S. Lubinsky

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.


1993 ◽  
Vol 47 (3) ◽  
pp. 369-390 ◽  
Author(s):  
D.S. Lubinsky ◽  
Thandwa Mthembu

2001 ◽  
Vol 133 (1-2) ◽  
pp. 277-282 ◽  
Author(s):  
S.B. Damelin ◽  
H.S. Jung ◽  
K.H. Kwon

1991 ◽  
Vol 60 (1) ◽  
pp. 195-218 ◽  
Author(s):  
Giuliana Criscuolo ◽  
Giuseppe Mastroianni ◽  
Donatella Occorsio

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