Asymptotic estimates of approximation of continuous periodic functions by the Fourier sums

• Date: 1990
• Main Authors: Gavrilyuk, V. T., Гаврилюк, В. Т.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1990
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8830
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Asymptotic estimates, expressed in terms of the value of the modulus of continuity of $r$-th order ($r\geq 2$) at the point $t = \pi/n$ of a function $f\in C_{2\pi}$ or of the ($\psi,\beta$)-derivative of a function $f \in C_{\beta}^{\psi}C$, are established for the deviations of continuous periodic...