Asymptotically double lacunry equivalent sequences defined by Orlicz functions
This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε&...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Estadual de Maringá (UEM) |
| Repositorio: | Acta scientiarum. Technology (Online) |
| Idioma: | inglés |
| OAI Identifier: | oai:periodicos.uem.br/ojs:article/16391 |
| Acceso en línea: | http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16391 |
| Access Level: | acceso abierto |
| Palabra clave: | asymptotically equivalence double sequences P-convergent double lacunary sequence 40A99 40A05 40B05 |
| Sumario: | This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε>0, P-lim_{k,l}M(((|((x_{k,l})/(y_{k,l}))-L|)/ρ))=0, for some ρ>0, (denoted by x∽y) and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems. |
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