Approximation by Fourier sums in classes of Weyl – Nagy differentiable functions with high exponent of smoothness

• Date: 2022
• Main Authors: Serdyuk, A. S., Sokolenko , I. V., Сердюк, А. С., Соколенко , І. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7136
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We establish asymptotic estimates for the least upper bound of approximations in the uniform metric by Fourier sums of order $n-1$ in classes of $2\pi$-periodic Weyl-Nagy differentiable functions $W^r_{\beta,p},$ $1\le p\le \infty,$ $\beta\in\mathbb{R},$ with high exponents of smoothness $...