1.
2.
ScientificWorldJournal
; 2014: 437863, 2014.
Artigo
em Inglês
| MEDLINE
| ID: mdl-25105160
RESUMO
We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a rate of weighted A-statistical convergence and apply the classical Bernstein polynomial to construct an illustrative example in support of our result.
Assuntos
Modelos Estatísticos , Algoritmos
3.
ScientificWorldJournal
; 2014: 535419, 2014.
Artigo
em Inglês
| MEDLINE
| ID: mdl-24688403
RESUMO
The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δ(m), I)-statistical convergence of order α and strong (Δ(p)(m), I)-Cesàro summability of order α of real sequences and investigated their relationship.