Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$

• Date: 2003
• Main Authors: Dekanov, S. Ya., Деканов, С. Я.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3910
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose a general method for obtaining Tauberian theorems with remainder for one class of Voronoi summation methods for double sequences of elements of a locally convex, linear topological space. This method is a generalization of the Davydov method of $C$-points.