Approximation by fourier sums and best approximations on classes of analytic functions

• Дата: 2000
• Автори: Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4428
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane.