Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space $S^p$

• Date: 2002
• Main Authors: Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4044
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We continue the investigation of approximation properties of the space $S^p$. We introduce the notion of kth modulus of continuity and establish direct and inverse theorems on approximation in the space $S^p$ in terms of the best approximations and moduli of continuity. These theorems are analogous...