On the renewal of a Wiener field on a plane with the use of its values on closed curves

• Datum: 1999
• Hauptverfasser: Zemlyak, Т. V., Земляк, Т. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4661
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate.