Asymptotic Properties of Coefficients of Orthorecursive Expansions over Indicators of Dyadic Intervals
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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.
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The author expresses his gratitude to V. V. Galatenko for formulation of the problem and valuable advice and to T. P. Lukashenko for attention to the work.
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