2017
Том 69
№ 9

All Issues

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

Dekanov S. Ya.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 3, pp 434–449.

Citation Example: Dekanov S. Ya. Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ // Ukr. Mat. Zh. - 2003. - 55, № 3. - pp. 360-372.

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