Yavuz Altin

Generalized difference sequence spaces on seminormed space defined by Orlicz functions

In this paper we define the sequence space ℓM (Δm, p, q, s) on a seminormed complex linear space by using an Orlicz function. We study its different algebraic and topological properties like solidness, symmetricity, monotonicity, convergence free etc. We prove some inclusion relations involving ℓM (Δm, p, q, s).

Statistical summability(C, 1) for sequences of fuzzy real numbers and a Tauberian theorem

Statistical convergence for sequences of fuzzy real numbers has been studied by various authors. In this paper we study the concept of statistical summability (C, 1) for fuzzy real numbers which for real numbers was introduced by Moricz [18]. We also construct some interesting examples.

The sequence space |Np| (M, r, q, s) on seminormed spaces

Abstract In this paper we define the space | N p |(M,r,q,s) on seminormed complex linear space by using an Orlicz function and we study various properties and obtain some inclusion relations involving this space. This study generalizes some results of Bhardwaj and Singh [Demonstratio Math. 32 (1999) 539; Indian J. Pure Appl. Math. 31 (2000) 319].

The sequence space

Abstract In this paper we define the space | N p |(M,r,q,s) on seminormed complex linear space by using an Orlicz function and we study various properties and obtain some inclusion relations involving this space. This study generalizes some results of Bhardwaj and Singh [Demonstratio Math. 32 (1999) 539; Indian J. Pure Appl. Math. 31 (2000) 319].

On some sets of difference sequences of fuzzy numbers

In this paper we define the sequence space

On almost statistical convergence of generalized difference sequences of fuzzy numbers

{w}_{{\mathcal{F}}}\left(f,p,\Updelta\right)

The sequence space on seminormed spaces

which is called the space of strongly