Research output: Contribution to journal › Article › peer-review
We give a simple proof of a classical theorem by A. Máté, P. Nevai, and V. Totik on asymptotic behavior of orthogonal polynomials on the unit circle. It is based on a new real-variable approach involving an entropy estimate for the orthogonality measure. Our second result is an extension of a theorem by G. Freud on averaged convergence of Fourier series. We also discuss some related open problems in the theory of orthogonal polynomials on the unit circle.
Original language | English |
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Article number | 105650 |
Journal | Journal of Approximation Theory |
Volume | 272 |
DOIs | |
State | Published - Dec 2021 |
ID: 94392980