Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions

• Date: 2012
• Main Authors: Serdyuk, A. S., Сердюк, А. С.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2609
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the sets $C^{\psi}_{\beta}L_p$ of $(\psi, \beta)$-differentiable functions generated by sequences $\psi(k)$ that satisfy the d'Alembert conditions. We find asymptotic equalities for the least up...