On lower bounds for the approximation of individual functions by local splines with nonfixed nodes

• Date: 1999
• Main Authors: Ligun, A. A., Shumeiko, A. A., Лигун, А. А., Шумейко, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4767
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectk ≥r/2 in the metric ofL p.