scholarly journals Zeros of Orthogonal Polynomials Near an Algebraic Singularity of the Measure

2018 ◽  
Vol 47 (3) ◽  
pp. 407-435
Author(s):  
Árpád Baricz ◽  
Tivadar Danka
Keyword(s):  
Orthogonal Polynomials ◽  
Zeros Of Orthogonal Polynomials

Convolutions and zeros of orthogonal polynomials

2011 ◽  
Vol 61 (7) ◽  
pp. 868-878
Author(s):  
Iván Area ◽  
Dimitar K. Dimitrov ◽  
Eduardo Godoy
Keyword(s):  
Orthogonal Polynomials ◽  
Zeros Of Orthogonal Polynomials

scholarly journals Interlacing of zeros of orthogonal polynomials under modification of the measure

2013 ◽  
Vol 175 ◽  
pp. 64-76 ◽  
Author(s):  
Dimitar K. Dimitrov ◽  
Mourad E.H. Ismail ◽  
Fernando R. Rafaeli
Keyword(s):  
Orthogonal Polynomials ◽  
Interlacing Of Zeros ◽  
Zeros Of Orthogonal Polynomials

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.

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