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On some classes of difference double sequence spaces

Tripathy B.C.

Fasciculi Mathematici

2009

Nr 41

135-142

In this article we introduce the difference double sequence spaces &some;defined over a seminormed space (X,q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonoc-ity, convergence free, nowhere densenes etc. We prove some inclusion results too.

The sequence space m(Φ, Δm, p)F

Tripathy B. C., Borgohain S.

Fasciculi Mathematici

2008

Nr 39

87-96

The sequence space m(øΔmp)F of fuzzy real numbers for 0 < p < 1 and 1 < p < ∞, are introduced. Some properties of the sequence space like solidness. symmetricity, convergence-free etc. are studied.

Statistically convergent difference sequence spaces of fuzzy real numbers

Tripathy B. C., Das P. C.

Fasciculi Mathematici

2008

Nr 39

97-112

In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, cF(A). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results.

Some classes of difference sequences of fuzzy real numbers

Tripathy B. C., Das P. C.

Fasciculi Mathematici

2008

Nr 40

105-117

In this article we disscuss some properties of the classes of difference sequences cF (Δ), cF0 (Δ) and of lF∞ fuzzy real numbers, like solidness, symmetricity, sequence algebra, con- vergence free, nowhere denseness and prove some inclusion results.