Published December 2017 | Version v1
Journal article Metadata-only

Tauberian Theorems for Sequences in 2-Normed Spaces

Creators

  • 1. İstanbul Medeniyet University, Department of Mathematics (Turkey)

Description

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.

Additional details

Identifiers

DOI
10.1007/s00025-017-0747-8;

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
72
Journal Issue
4
Journal Page Range
p. 1919-1931
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50018233
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CONVERGENCE; MATHEMATICAL SPACE; NORMAL-MODE ANALYSIS; OSCILLATIONS
Descriptors DEC
SPACE

Optional Information

Copyright
Copyright (c) 2017 Springer International Publishing AG