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<p>We consider the classes of trigonometric series whose coefficients are fractional monotone. In the cases when the level of monotonicity is natural the properties of these classes are well-known. We give the survey of works which study the general situation. Bibliography&#xa0;:&#xa0; 31 titles.</p>

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PROPERTIES OF THE TRIGONOMETRIC SERIES WITH FRACTIONALLY MONOTONE COEFFICIENTS

  • 期刊论文

  • 发表日期：

    2026年4月23日

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  • Mikhail Dyachenko,
  • Aleksei Solodov

摘要

We consider the classes of trigonometric series whose coefficients are fractional monotone. In the cases when the level of monotonicity is natural the properties of these classes are well-known. We give the survey of works which study the general situation. Bibliography :  31 titles.