Quadrature sums and Lagrange interpolation for general exponential weights

Authors:
D. G. Kubayi;D. S. Lubinsky
Affiliations:
Mathematics Department, Witwatersrand University, Wits 2050, South Africa;Mathematics Department, Witwatersrand University, Wits 2050, South Africa and School of Mathematics, Georgia Institute of Technology, Atlanta, GA
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 3
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Abstract

We obtain forward and converse quadrature sum estimates associated with zeros of orthogonal polynomials for general exponential weights. These are then applied to establish mean convergence of Lagrange interpolation at zeros of these orthogonal polynomials. The results generalize earlier ones for even weights on (-1,1) or R.