Lacunary Tauberian conditions for a certain class of Voronoi methods
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 20-25
Cet article a éte moissonné depuis la source Math-Net.Ru
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},
year = {2015},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a3/}
}
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/
[1] Khardi G., Raskhodyaschiesya ryady, IL, M., 1951; Комкнига, М., 2006; Факториал Пресс, М., 2006
[2] Hardy G.H., Littlewood J.E., “A further note on the converse of Abel's theorem”, Proc. London Math. Soc., 25:2 (1926), 219–236 | DOI | MR | Zbl
[3] Stepanyants S.A., Khakhinov I.V., “O vzaimosvyazyakh metodov Voronogo”, Vestn. Mosk. un-ta. Matem. Mekhan., 2014, no. 1, 60–63
[4] Stepanyants S.A., “Teoremy tauberova tipa i lakunarnye usloviya dlya metodov summirovaniya Chezaro i Rissa”, Vestn. Mosk. un-ta. Matem. Mekhan., 1996, no. 4, 41–45 | Zbl