$k$-Snakes in finite-order interpolational classes of functions

• Date: 1993
• Main Authors: Ivashchuk, Ya. G., Иващук, Я. Г.
• 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/5805
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

$k$-snakes are a generalization of the polynomials with the least deviation from zero underk-constraints. We prove the existence and uniqueness of $k$-snakes in finite-order interpolational classes and their continuous differentiability with respect to a parameter.