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ON IDEAL CONVERGENCE OF SEQUENCES VIA CATALAN MATRIX OPERATOR.
- Source :
-
Miskolc Mathematical Notes . 2024, Vol. 25 Issue 1, p349-365. 17p. - Publication Year :
- 2024
-
Abstract
- Catalan sequence initially introduced by Euler but named after Eugene Catalan has found abundant applications in the fields of probability theory, number theory, analysis, combinatorics etc. Recently ˙Ilkhan formulated the matrix associated with Catalan numbers and studied its domain in c0(C~) and c(C~). In this paper, by employing Catalan matrix defined by Catalan sequence and convergence via ideal, we establish Catalan sequence spaces c I 0 (C~), c I (C~) and ℓ I ∞(C~), study the properties of these corresponding spaces and establish inclusion relations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 25
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 177933542
- Full Text :
- https://doi.org/10.18514/MMN.2024.4272