| dc.creator | De Malafosse, Bruno | |
| dc.creator | Rakočević, Vladimir | |
| dc.date | 2010-10-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1395 | |
| dc.identifier | 10.4067/S0719-06462010000300008 | |
| dc.description | In this paper we recall recent results that are direct consequences of the fact that (ω∞ (λ),ω∞ (λ)) is a Banach algebra. Then we define the set Wτ = Dτω∞ and characterize the sets Wτ (A) where A is either of the operators ∆, Σ, ∆(λ), or C(λ). Afterwards we consider the sets [A1, A2]Wτ of all sequences X such that A1 (λ) (ǀA2(µ)Xǀ) ∈ Wτ where A1 and A2 are of the form C(ξ), C+ (ξ), ∆(ξ), or ∆+ (ξ) and it is given necessary conditions to get [A1 (λ), A2 (µ)]Wτ in the form Wξ. Finally we apply the previous results to statistical convergence. So we have conditions to have xk → L(S(A)) where A is either of the infinite matrices D1/τC(λ)C(µ), D1/τ∆(λ)∆(µ), D1/τ∆(λ)C(µ). We also give conditions to have xk → 0(S(A)) where A is either of the operators D1/τC+ (λ)∆(µ), D1/τC+ (λ)C(µ), D1/τC+(λ)C+(µ), or D1/τ∆(λ)C+(µ). | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1395/1250 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal; 121–138 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 12 Núm. 3 (2010): CUBO, A Mathematical Journal; 121–138 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Banach algebra | en-US |
| dc.subject | statistical convergence | en-US |
| dc.subject | A−statistical convergence | en-US |
| dc.subject | infinite matrix | en-US |
| dc.title | Calculations in new sequence spaces and application to statistical convergence | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
