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

• Datum: 2000
• Hauptverfasser: Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: 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.