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<p>We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy–Littlewood-type theorems.</p>

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On \(L_p\)-Integrability of Functions with General Monotone Fourier Coefficients

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • A. Mukanov,
  • E. Nursultanov

摘要

We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy–Littlewood-type theorems.