guest ::
| Home > Articles > Published articles > Approximation problems in modular spaces of double sequences |
| Home > Articles > Published articles > Approximation problems in modular spaces of double sequences |
| Date: | 1990 |
| Abstract: | Let X denote the space of all real, bounded double sequences, and let Ф∞,Γ, be, ∞-functions . Moreover, let Ψ be an increasing, continuous function for u ≥ 0 such that Ψ (0) = 0. In this paper we consider some spaces of double sequences provided with two-modular structure given by generalized variations and the translation operator. We apply the [fórmula disponible al document original] convergence in X(Ф,Ψ) in order to obtain an approximation theorem by means of the (m, n)-translation, i . e . a result of the form [fórmula disponible al document original] - 0 in an Orlicz sequence space IΓ. |
| Rights: | Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 34 n. 2 (1990) p. 259-267, ISSN 2014-4350 |
