Estimates for the Approximations of the Classes of Analytic Functions by Interpolation Analogs of the De-La-Vallée–Poussin Sums

• Дата: 2014
• Автори: Voitovych, V. A., Войтович, В. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2110
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish two-sided estimates for the exact upper bounds of approximations by the interpolation analogs of the de-la-Vallée-Poussin sums on the classes of 2π -periodic functions C β,s ψ specified by the sequences ψ(k) and shifts of the argument β , β ∈ ℝ, under the condition that the sequen...