Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums

• Datum: 2003
• Hauptverfasser: Rukasov, V. I., Рукасов, В. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3955
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'ski...