Geodesic
Lacunary Tauberian conditions for a certain class of Voronoi methods
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 20-25

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The Voronoi–Nörlund summability methods and some Tauberian conditions for these methods are considered in the paper. The Tauberian gap theorem is proved. 
@article{VMUMM_2015_1_a3,
     author = {I. V. Gorokhova},
     title = {Lacunary {Tauberian} conditions for a certain class of {Voronoi} methods},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {20--25},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a3/}
}
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I. V. Gorokhova. Lacunary Tauberian conditions for a certain class of Voronoi methods. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 20-25. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a3/