Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 391-400
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K. M. Slepenchuk. Strong summability of double series by matrix methods and Tauberian theorems for these methods. Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 391-400. http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a4/
@article{MZM_1975_17_3_a4,
author = {K. M. Slepenchuk},
title = {Strong summability of double series by matrix methods and {Tauberian} theorems for these methods},
journal = {Matemati\v{c}eskie zametki},
pages = {391--400},
year = {1975},
volume = {17},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a4/}
}
TY - JOUR
AU - K. M. Slepenchuk
TI - Strong summability of double series by matrix methods and Tauberian theorems for these methods
JO - Matematičeskie zametki
PY - 1975
SP - 391
EP - 400
VL - 17
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a4/
LA - ru
ID - MZM_1975_17_3_a4
ER -
%0 Journal Article
%A K. M. Slepenchuk
%T Strong summability of double series by matrix methods and Tauberian theorems for these methods
%J Matematičeskie zametki
%D 1975
%P 391-400
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a4/
%G ru
%F MZM_1975_17_3_a4
Conditions are established under which matrix transformations of double series and sequences preserve strong convergence. In addition, a general Tauberian theorem is established and applied to the method of Borel.