Optimization of adaptive algorithms for the renewal of monotone functions from the class $H^ω$

• Date: 1993
• Main Authors: Korneichuk, N. P., Корнейчук, Н. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5970
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A problem of renewal of monotone functions $f(t) \in H^{\omega}[a, b]$ with fixed values at the ends of an interval is studied by using adaptive algorithms for calculating the values of $f(t)$ at certain points. Asymptotically exact estimates unimprovable on the entire set of adaptive algorithms are...