Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals

• Datum: 1999
• Hauptverfasser: Stepanets, O. I., Степанец, А. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4771
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study functionals that characterize the strong summation of Fourier series on sets of $\bar{\psi}$−integrals in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials.