scholarly journals On Nevai's bounds for orthogonal polynomials associated with exponential weights

1985 ◽  
Vol 44 (1) ◽  
pp. 86-91 ◽  
Author(s):  
D.S Lubinsky
Keyword(s):  
Orthogonal Polynomials ◽  
Exponential Weights

Mean Convergence of Lagrange Interpolation for Exponential weights on [-1, 1]

1998 ◽  
Vol 50 (6) ◽  
pp. 1273-1297 ◽  
Author(s):  
D. S. Lubinsky
Keyword(s):  
Orthogonal Polynomials ◽  
Lagrange Interpolation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Exponential Weights ◽  
Mean Convergence ◽  
Zeros Of Orthogonal Polynomials ◽  
Necessary And Sufficient

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.

scholarly journals Asymptotics for Sobolev Orthogonal Polynomials for Exponential Weights

2004 ◽  
Vol 22 (3) ◽  
pp. 309-346 ◽  
Author(s):  
J. S. Geronimo ◽  
D. S. Lubinsky ◽  
F. Marcellan
Keyword(s):  
Orthogonal Polynomials ◽  
Exponential Weights ◽  
Sobolev Orthogonal Polynomials
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