Asymptotic Properties of Coefficients of Orthorecursive Expansions over Indicators of Dyadic Intervalsстатья
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Аннотация:Asymptotic properties of the coefficients of orthorecursive expansion over a system of indicators of dyadic intervals associated with local properties of the expanded function are studied. Asymptotic formulas are obtained in the cases of differentiable functions and functions having a discontinuity of the first kind at the point under study.