Asymptotically double lacunry equivalent sequences defined by Orlicz functions
Document title: Asymptotically double lacunry equivalent sequences defined by Orlicz functions
Journal: Acta scientiarum. Technology
Database: PERIÓDICA
System number: 000377212
ISSN: 1806-2563
Authors: 1
Institutions: 1Adiyaman University, Science and Art Faculty, Altinsehir, Adiyaman. Turquía
Year:
Season: Abr-Jun
Volumen: 36
Number: 2
Pages: 323-329
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract This paper presents the following definition which is natural combination of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences k l x x = , and k l y y = , are said to be M-asymptotically double equivalent to multiple L provided that for every  > 0, lim = 0 L y x P M k l k l k l for some  > 0, (denoted by x y M ~ ) and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems
Portuguese abstract Apresenta-se uma definição, a qual é a combinação natural da definição para o equivalente asintótico e função de Orlicz. As duplas sequências nâo-negativas k l x x = , e k l y y = , são o equivalente duplo M-asintótico para o múltiplo L desde que, para cada > 0, lim = 0 L y x P M k l k l k l para outros  > 0, (denotado por x y M ~ ) e simplesmente equivalente duplo M-asintótico se L=1. Novos conceitos a essa definição e teoremas de inclusão são também proporcionados
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Equivalencia asintótica,
Secuencias dobles,
Función de Orlicz
Keyword: Mathematics,
Pure mathematics,
Asymptotic equivalence,
Double sequences,
Orlicz function
Full text: Texto completo (Ver HTML)