Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals

• Date: 1997
• Main Authors: Stepanets, O. I., Степанец, А. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5102
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the notion of $\overline{\psi}$-integrals of 2π-periodic summable functions f, f ε L, on the basis of which the space L is decomposed into subsets (classes) $L^{\overline{\psi}}$. We obtain integral representations of deviations of the trigonometric polynomials $U_{n(f;x;Λ)}$ generated...