Entropy function and orthogonal polynomials

نویسندگان

چکیده

We give a simple proof of classical theorem by A. Máté, P. Nevai, and V. Totik on asymptotic behavior orthogonal polynomials the unit circle. It is based new real-variable approach involving an entropy estimate for orthogonality measure. Our second result extension G. Freud averaged convergence Fourier series. also discuss some related open problems in theory

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2021

ISSN: ['0021-9045', '1096-0430']

DOI: https://doi.org/10.1016/j.jat.2021.105650