Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators

• Datum: 2004
• Hauptverfasser: Sokolenko, I. V., Stepanets, O. I., Соколенко, І. В., Степанець, О. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3812
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by $\bar {\Psi}$-integrals. On these classes, we also obtain asymptotic equalities for the upper bounds of functionals that chara...