An interpolatory estimate for copositive polynomial approximations of continuous functions

• Date: 2022
• Main Authors: Dzyubenko, G. A., Дзюбенко, Г. А.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7103
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Under the condition that a function $f$, which is continuous on $[-1,1],$ changes its sign at $s$ points $y_i,$ $-1 < y_{s} < y_{s-1} < \dots < y_1 < 1,$ then for each $n \in \mathbb{N}$ greater than some constant $\mathbb{N}$ dependin...