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<p>Previously, solving the problem of the minimal norm of a&#xa0;periodic error functional led to an equation containing the so-called concomitant number, which allowed this number to be obtained explicitly. In this work, particular limiting cases are considered. The norms of the optimal periodic error functional and the values of the concomitant number in these cases are obtained.</p>

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Norm of the optimal periodic error functional of quadrature formulas at limiting values of p

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • Evgeniia G. Vasileva,
  • Elena N. Bulgatova,
  • Tsyrenkhanda Zh. Yumova

摘要

Previously, solving the problem of the minimal norm of a periodic error functional led to an equation containing the so-called concomitant number, which allowed this number to be obtained explicitly. In this work, particular limiting cases are considered. The norms of the optimal periodic error functional and the values of the concomitant number in these cases are obtained.