Publication: Locally Boundedness and Continuity of Superposition Operators on Double Sequence Spaces Cr0
| dc.authorscopusid | 8866066700 | |
| dc.authorscopusid | 56781191300 | |
| dc.contributor.author | Saǧir, B. | |
| dc.contributor.author | Güngör, N. | |
| dc.date.accessioned | 2025-12-10T23:03:15Z | |
| dc.date.issued | 2015 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Saǧir] Bi̇Rsen, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Güngör] Nihan, Department of Mathematical Engineering, Gümüşhane Üniversitesi, Gumushane, Gumushane, Turkey | en_US |
| dc.description.abstract | Let R be set of all real numbers, N be the set of all natural numbers and N2 = N×N. In this paper, we define the superposition operator P<inf>g</inf> where g: N2×R → R by P<inf>g</inf> ((x<inf>ks</inf>)) = g(k,s,x<inf>ks</inf>) for all real double sequence (x<inf>ks</inf>). Chew & Lee [4] and Petranuarat & Kemprasit [11] have characterized P<inf>g</inf>: c<inf>0</inf> → l<inf>1</inf> and P<inf>g</inf>: c<inf>0</inf> → l<inf>q</inf> where 1 ≤ q < ∞, respectively. The main aim of this paper is to construct the necessary and sufficient conditions for the boundedness and continuity of P<inf>g</inf>: C<inf>r0</inf> → L<inf>1</inf> and Pg: C<inf>r0</inf> → L<inf>p</inf> where 1≤ p< ∞. © 2015 by Eudoxus Press,LLC,all rights reserved. | en_US |
| dc.identifier.endpage | 377 | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.issn | 1572-9206 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85050187581 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 365 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/35300 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Eudoxus Press, LLC | en_US |
| dc.relation.ispartof | Journal of Computational Analysis and Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Continuity | en_US |
| dc.subject | Double Sequence Spaces | en_US |
| dc.subject | Locally Bounded | en_US |
| dc.subject | Regularly Convergent | en_US |
| dc.subject | Superposition Operators | en_US |
| dc.title | Locally Boundedness and Continuity of Superposition Operators on Double Sequence Spaces Cr0 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |