Tauberian Theorems for Sequences in 2-Normed Spaces

Savaş  R., Sezer S. A.

doi:10.1007/s00025-017-0747-8

Tauberian Theorems for Sequences in 2-Normed Spaces

Savaş R. , Sezer S. A.

RESULTS IN MATHEMATICS, cilt.72, ss.1919-1931, 2017 (SCI İndekslerine Giren Dergi)

Cilt numarası: 72
Basım Tarihi: 2017
Doi Numarası: 10.1007/s00025-017-0747-8
Dergi Adı: RESULTS IN MATHEMATICS
Sayfa Sayısı: ss.1919-1931

Özet

In this paper we initiate the study of Tauberian theorems for sequences in 2-normed spaces. We introduce a necessary and sufficient Tauberian condition for (C, 1) summable sequences in such spaces. Corollaries allow this condition to be replaced by 2-normed analogues of Schmidt-type slow oscillation condition or Hardy-type two-sided condition.