TY - JOUR
AU - A. A. Ligun
AU - A. A. Shumeiko
PY - 1999/12/25
Y2 - 2024/11/10
TI - On lower bounds for the approximation of individual functions by local splines with nonfixed nodes
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 51
IS - 12
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/4767
AB - 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.
ER -