变换二重傅立叶级数的函数估计

Pub Date : 2021-04-14 DOI:10.1556/012.2021.58.1.1478

B. Simonov

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引用次数: 0

摘要

本文用初始函数的平滑模对变换傅立叶级数的函数的平滑完全模的不等式进行了详细的研究。通过初始函数的最佳逼近，得到了变换傅立叶级数函数的范数的上估计和下估计以及最佳逼近。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Estimates of Functions with Transformed Double Fourier Series

The paper provides a detailed study of inequalities of complete moduli of smoothness of functions with transformed Fourier series by moduli of smoothness of initial functions. Upper and lower estimates of the norms and best approximations of the functions with transformed Fourier series by the best approximations of initial functions are also obtained.

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