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.

中文翻译：

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关于二进间隔指标的正递归展开系数的渐近性质

研究了与扩展函数的局部性质相关的二元间隔指标系统上的正递归扩展系数的渐近性质。在可微函数和在研究点具有第一类不连续性的函数的情况下，获得渐近公式。