Two valued measure and some new double sequence spaces in 2-normed spaces
Czechoslovak Mathematical Journal, vol.61, no.3, pp.809-825, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 61 Issue: 3
- Publication Date: 2011
- Doi Number: 10.1007/s10587-011-0029-7
- Journal Name: Czechoslovak Mathematical Journal
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.809-825
- Keywords: μ-statistical convergence, 2-norm, 2-normed space, condition (APO2), convergence, convergence in μ-density, Orlicz function, paranorm, paranormed space, sequence space
- Uşak University Affiliated: No
Abstract
The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before. © 2011 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.