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<p>The exact values of various widths are determined in the space <i>L</i><sub>2</sub> for the classes of 2<i>π</i>-periodic functions constructed with the use of the averaged characteristics of smoothness and majorants under certain restrictions imposed on the majorants. Several specific examples are considered with an aim to clarify the obtained result. The presented new results can be regarded as a logical continuation of the results of our earlier investigations.</p>

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Exact Values of Widths for the Classes of Functions Defined by the Averaged Characteristics and Majorants in the Space L2

  • 期刊论文

  • 发表日期：

    2025年12月6日

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  • Serhii Vakarchuk,
  • Valentyna Zabutna,
  • Mykhailo Vakarchuk

摘要

The exact values of various widths are determined in the space L2 for the classes of 2π-periodic functions constructed with the use of the averaged characteristics of smoothness and majorants under certain restrictions imposed on the majorants. Several specific examples are considered with an aim to clarify the obtained result. The presented new results can be regarded as a logical continuation of the results of our earlier investigations.