Hokkaido Mathematical Journal

Hokkaido Mathematical Journal, 35 (2006) pp.197-213

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Abstract

The purpose of this paper is to introduce the space of sequences that are strongly almost $(V,\lambda) (\Delta ^{r})$-$summable with respect to an Orlicz function. We give some relations related to these sequence spaces. We also show that the space }$[ \hat{V},\lambda ,M] (\Delta ^{r})\cap \ell _{\infty}(\Delta ^{r})$may be represented as a$\hat{s}_{\lambda}(\Delta ^{r})\cap \ell _{\infty }(\Delta ^{r})$space. MSC(Primary) 40C05 46A45, 40A05 Almost$(V,\lambda)-summability, Almost statistical convergence, Orlicz function