Pointwise estimation of an almost copositive approximation of continuous functions by algebraic polynomials

• Datum: 2017
• Hauptverfasser: Dzyubenko, H. A., Дзюбенко, Г. А.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1723
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the case where a function continuous on a segment $f$ changes its sign at $s$ points $y_i : 1 < y_s < y_{s-1} < ... < y_1 < 1$, for any $n \in N$ greater then a constant $N(k, y_i)$ that depends only on $k \in N$ and \$\min_{i=1,...,s-1}\{ y_i - y_{i+1}\}$, we...