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Abstract <p>A proof is given of theorems according to which any function and its derivative belonging to the Hölder–Lipschitz class <i>С</i><sup>α</sup> (<i>G</i>) can be approximated with any predetermined accuracy by a finite sum of dependences of the Fourier coefficients for a harmonically modulated argument of the fu-nction.</p>

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Approximation of Function and Its Derivative from the Hölder–Lipschitz Class by Their Fourier Coefficients for the Harmonically Modulated Argument

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • N. D. Kuz’michev

摘要

Abstract

A proof is given of theorems according to which any function and its derivative belonging to the Hölder–Lipschitz class Сα (G) can be approximated with any predetermined accuracy by a finite sum of dependences of the Fourier coefficients for a harmonically modulated argument of the fu-nction.