the aim of this paper is to introduce and study a new concept of strong double δ ( a ) σ -convergence sequences with respect to an orlicz function, and some properties of the resulting sequencespaces were also examined. in addition, we define the δ ( a ) σ -statistical convergence and establish someconnections between the spaces of strong double δ ( a ) σ -convergence sequences and the space of...

In this paper, we introduce the notions of asymptotical strong σ 2 σ2 -equivalence, -statistical equivalence, lacunary -equivalence and equivalence in Wijsman sense for double set sequences. Also, investigate some relations between these new notions.

The concept of statistical convergence of a sequence was first introduced by H. Fast. Statistical convergence was generalized by R. C. Buck, and studied by other authors, using a regular nonnegative summability matrix A in place of C\ . The main result in this paper is a theorem that gives meaning to the statement: S= {sn} converges to L statistically (T) if and only if "most" of the subsequenc...

In this paper, we shall introduce the new notion namely, I -λ statistical convergence by using ideal with respect to the intuitionistic fuzzy norm (μ,v)2. We also study the relation between I -λ statistical convergence and I -statistical convergence. subjclass[2000] 40A05; 40B50; 46A19; 46A45.

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...

In this note we introduce the concept of a lacunary statistical cluster ( l.s.c.) point and prove some of its properties in finite dimensional Banach spaces. We develop the method suggested by S. Pehlivan and M.A. Mamedov [20] where it was proved that under some conditions optimal paths have the same unique stationary limit point and stationary cluster point. We also show that the set Γx of l.s...

After F a s t [6] introduced the theory of statistical convergence of a real sequence, it has become popular among mathematicians ([2], [7]–[9], [17]). The ideas of statistical limit superior and limit inferior were first extensively studied by F r i d y and O r h a n [9]. After K o s t y r k o et al. [10] extended the idea of statistical convergence to I-convergence using the concept of an ide...