ON DISCRETE WEIGHTED STATISTICAL CONVERGENCE

In the present paper, the notion of discrete weighted mean method of summability isextended the concept of statistical convergence. We also give the notion of statistical (M,P_{λ})-summability and [M,P_{λ}]_{q}-summability. We introduced some properties of this modes of convergenc

Uniform Statistical Convergence on Time Scales

We will introduce the concept of m- and (λ,m)-uniform density of a set and m- and (λ,m)-uniform statistical convergence on an arbitrary time scale. However, we will define m-uniform Cauchy function on a time scale. Furthermore, some relations about these new notions are also obtained

f ( λ , μ ) f(λ,μ)f_{(\lambda,\mu)} -statistical convergence of order α̃ for double sequences

Abstract New concepts of f λ , μ $f_{\lambda,\mu }$ -statistical convergence for double sequences of order α̃ and strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we give the relationship between the spaces w α ˜ , 0 2 ( f , λ , μ ) $w_{\tilde{\alpha },0}^{2} ( f,\lambda,\mu )$ , w α ˜ 2 ( f , λ , μ ) $w_{\tilde{\alpha }}^{2} ( f,\lambda,\mu )$ and w α ˜ , ∞ 2 ( f , λ , μ ) $w_{\tilde{\alpha},\infty }^{2} ( f,\lambda,\mu )$ . Then we express the properties of strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability of order β̃ which is related to strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability of order α̃. Also, some relations between f λ , μ $f_{\lambda,\mu }$ -statistical convergence of order α̃ and strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability of order α̃ are given

On r-duals of some difference sequence spaces

In this paper we introduce and examine some properties of the sequence spaces C(mv, ,), C(mv, ,, C(mv, ,), Cmv, , and V(mv, ,), and compute the rα-, rβ- and r-duals of the sequence spaces ℓ(v), c(v) and c0(v), and the rα- and rN-duals of the sequence spaces C(mv) and Cmv

Strongly almost summable sequences of order a

In this paper, we introduce the concept  statistical convergence of order . Also some relations between  -statistical convergence of order   and strong  -summability of order  are given. Furthermore some relations between the spaces  and  are examined.</p