On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment

• Datum: 2008
• Hauptverfasser: Motornyi, V. P., Моторный, В. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3226
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain a correction of an estimate of the approximation of functions from the class W r H ω (here, ω(t) is a convex modulus of continuity such that tω '(t) does not decrease) by algebraic polynomials with regard for the location of a point on an interval.