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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 1, Pages 20–25 (Mi vmumm203)

Mathematics

Lacunary Tauberian conditions for a certain class of Voronoi methods

I. V. Gorokhova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The Voronoi–Nörlund summability methods and some Tauberian conditions for these methods are considered in the paper. The Tauberian gap theorem is proved.

Key words: Voronoi–Nörlund summability methods, Tauberian conditions, gap theorem.

UDC: 517.521.7

Received: 14.06.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2015, 70:1, 19–23

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© Steklov Math. Inst. of RAS, 2025