Banach Spaces and Inequalities Associated with New Generalization of Cesaro Matrix
| dc.contributor.author | Basar, Feyzi | |
| dc.contributor.author | Roopaei, Hadi | |
| dc.date.accessioned | 2024-08-04T20:54:27Z | |
| dc.date.available | 2024-08-04T20:54:27Z | |
| dc.date.issued | 2023 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | Let the triangle matrix A(ru) be a generalization of the Cesaro matrix and U & ISIN; {c(0), c, l(& INFIN;)}. In this study, we essentially deal with the space U(A(ru)) defined by the domain of A(ru) in the space U and give the bases, and determine the Kothe-Toeplitz, generalized Kothe-Toeplitz and bounded-duals of the space U (A(ru)). We characterize the classes (l(& INFIN;) (A(ru)):l(& INFIN;)), (l(& INFIN;)(A(ru)): c), (c(A(ru)): c), and (U: V(A(ru))) of infinite matrices, where V denotes any given sequence space. Additionally, we also present a Steinhaus type theorem. As an another result of this study, we investigate the l(p)-norm of the matrix A(ru) and as a result obtaining a generalized version of Hardy's inequality, and some inclusion relations. Moreover, we compute the norm of well-known operators on the matrix domain l(p) (A(ru)). | en_US |
| dc.identifier.doi | 10.1007/s10473-023-0404-0 | |
| dc.identifier.endpage | 1536 | en_US |
| dc.identifier.issn | 0252-9602 | |
| dc.identifier.issn | 1572-9087 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85162021553 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 1518 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10473-023-0404-0 | |
| dc.identifier.uri | https://hdl.handle.net/11616/101412 | |
| dc.identifier.volume | 43 | en_US |
| dc.identifier.wos | WOS:001012601800004 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Acta Mathematica Scientia | 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 | matrix domain | en_US |
| dc.subject | normed sequence space | en_US |
| dc.subject | duals and matrix transformations | en_US |
| dc.title | Banach Spaces and Inequalities Associated with New Generalization of Cesaro Matrix | en_US |
| dc.type | Article | en_US |
