Abstract:
The order of the distance between zeros of orthogonal and of quasiorthogonal polynomials is determined, and also the order of the Christoffel function if the weight function w(x)=q(x)e−x satisfies certain conditions. As a special case, lower and upper bounds are found for the distance between zeros of Lαn(x)+ALαn−1(x), where Lαn is the n-th order Laguerre polynomial.
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