Geodesic
Strong summability of double series by matrix methods and Tauberian theorems for these methods
Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 391-400.

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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. 
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     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},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a4/}
}
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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/