Asymptotically Lacunary Statistical Equivalent Sequences of Fuzzy Numbers



Document title: Asymptotically Lacunary Statistical Equivalent Sequences of Fuzzy Numbers
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000398635
ISSN: 0037-8712
Authors: 1
2
Institutions: 1Adiyaman University, Faculty of Arts and Sciences, Adiyaman. Turquía
2Firat University, Science and Art Faculty, Elazig. Turquía
Year:
Volumen: 30
Number: 2
Pages: 57-62
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this article we present the following definition which is natural combination of the definition for asymptotically equivalent and lacunary statistical convergence of fuzzy numbers. Let θ = (kr) be a lacunary sequence. The two sequnces X = (Xk) and Y = (Yk) of fuzzy numbers are said to be asymptotically lacunary statistical equivalent to multiple L provided that for every ε > 0 limr 1 hr k ∈ Ir : d Xk Yk , L ≥ ε = 0
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Análisis funcional,
Sucesiones,
Números difusos,
Sucesiones lacunares,
Equivalencia asintótica,
Convergencia
Keyword: Mathematics,
Pure mathematics,
Functional analysis,
Sequences,
Fuzzy numbers,
Lacunary sequences,
Asymptotic equivalence,
Convergence
Full text: Texto completo (Ver PDF)