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

• Дата: 2004
• Автори: Sokolenko, I. V., Соколенко, І. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3786
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain asymptotic formulas for the deviations of Fourier operators on the classes of continuous functions $C^{ψ}_{∞}$ and $\hat{C}^{\bar{\psi} } H_{\omega}$ in the uniform metric. We also establish asymptotic laws of decrease of functionals characterizing the problem of the simultaneous approxima...