Ge´za Freud, orthogonal polynomials and Christoffel functions. A case study
Journal of Approximation Theory
A survey on mean convergence of interpolatory processes
Journal of Computational and Applied Mathematics - Orthogonal polynomials and numerical methods
Mean convergence of generalized Jacobi series and interpolating polynomials, I
Journal of Approximation Theory
Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Freud weights
SIAM Journal on Mathematical Analysis
The Marcinkiewicz-Zygmund inequality on a smooth simple arc
Journal of Approximation Theory
The Lebesgue function and Lebesgue constant of Lagrange interpolation for Erdős weights
Journal of Approximation Theory
Notes on inequalities with doubling weights
Journal of Approximation Theory
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
Mathematics of Computation
Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights
Journal of Computational and Applied Mathematics
Convergence of Hermite and Hermite-Fejér interpolation of higher order for freud weights
Journal of Approximation Theory
A note on mean convergence of Lagrange interpolation in Lp (0 p ≤ 1)
Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Bounds for weighted Lebesgue functions for exponential weights
Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
On weighted mean convergence of Lagrange interpolation for general arrays
Journal of Approximation Theory
Quadrature sums and Lagrange interpolation for general exponential weights
Journal of Computational and Applied Mathematics
Journal of Approximation Theory
Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights
Journal of Computational and Applied Mathematics
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In this short article, we explore some methods, results and open problems dealing with weighted Marcinkiewicz-Zygmund inequalities as well as the numerical approximation of integrals for exponential weights on the real line and on finite intervals of the line. The problems posed are based primarily on ongoing work of the author and his collaborators and were presented at the November 2001 Oberwolfach workshop: 'Numerical integration and Complexity'.