On passive and active algorithms of reconstruction of functions

• 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/5807
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider passive and active algorithms of reconstruction of functions, satisfying the condition $|f(t′) − f(t″)| ≤ |t′ − t″|^{α},\; 0 < α ≤ 1,$ according to their values $f(t)$ at the points of the interval $[a, b]$. An active algorithm is presented which guarantees, for monotonic function...