Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals

• Дата: 2004
• Автори: Zhyhallo, T. V., Kharkevych, Yu. I., Жигалло, Т. В., Харкевич, Ю. І.
• 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/3840
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ-methods (defined by a collection Λ={λσ(·)} of functions continuous on [0; ∞) and depending on a real parameter σ) on classes of (ψ, β)-differentiable functions defined on the real axis.