Geodesic
Tauberian-type necessary conditions for Cesа́ro summation methods
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2005), pp. 61-71 
S. A. Stepanyants. Tauberian-type necessary conditions for Cesа́ro summation methods. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2005), pp. 61-71. http://geodesic.mathdoc.fr/item/IVM_2005_10_a6/
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     title = {Tauberian-type necessary conditions for {Ces{\cyra}́ro} summation methods},
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     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2005_10_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Khardi G., Raskhodyaschiesya ryady, In. lit., M., 1951, 504 pp.

[2] Hardy G.H., “Theorems relating to the summability and convergence of slowly oscillating series”, Proc. London Math. Soc., 8:2 (1910), 301–320 | DOI | Zbl

[3] Littlewood J.E., “The converse of Abel's theorem on power series”, Proc. London Math. Soc., 9:2 (1910), 434–448 | MR

[4] Lorentz G.G., “Tauberian theorems and tauberian conditions”, Trans. Amer. Math. Soc., 63:2 (1948), 226–234 | DOI | MR | Zbl

[5] Melnik V.I., “O summirovanii ryadov metodami Chezaro i Abelya–Puassona”, Matem. sb., 67:4 (1965), 535–540 | MR

[6] Stepanyants S.A., “Usloviya tauberova tipa, svyazyvayuschie metody summirovaniya Chezaro i Rissa razlichnykh poryadkov”, Anal. Math., 27 (2001), 287–318 | DOI | MR | Zbl