The compact operators on the Riesz sequence space 1 ∞ have been studied by Başarır and Kara, “IJST (2011) A4, 279-285”. In the present paper, we will characterize some classes of compact operators on the normed Riesz sequence spaces and by using the Hausdorff measure of noncompactness.

In this talk, our purpose is to introduce new sequence spaces by combining the generalized weighted mean and difference operator. Because of we use the matrix domain in this study, our new sequence spaces include some of the works in the literature. Our talk consist of three sections. In the fist section, we will give some topological properties which are completeness, AK-property, ADproperty. ...

In this paper, we define some new sequence spaces and give some topological properties of the sequence spaces χ (∆v , s, p) and Λ 2 (∆v , s, p) and investigate some inclusion relations.

In this paper we have considered two one parametric generalizations. These two generalizations have in particular the well known measures such as: J-divergence, Jensen-Shannon divergence and arithmetic-geometric mean divergence. These three measures are with logarithmic expressions. Also, we have particular cases the measures such as: Hellinger discrimination, symmetric χ2−divergence, and trian...

In this paper we introduce the difference paranormed sequence spaces c0(M,∆m, p), c(M,∆ n m, p) and `∞(M,∆ n m, p) respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between these spaces as well as prove some inclusion results.

In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, c̄ (∆). 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.

The idea of difference sequences was first introduced by Kizmaz [4]. In this first paper we define some generalized difference sequence combining lacunary sequences and Orlicz function. We establish some relations between these sequence space.

Let ∆(α) denote the fractional difference operator. In this paper, we define new difference sequence spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u). Also, the β−dual of the spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u) are determined and calculated their Schauder basis. Furthermore, we characterize the classes (μ(Γ, ∆(α), u) : λ) for μ ∈ {c0, c} and λ ∈ {c0, c, l ∞, l1} .

Ribosomal RNAs have secondary structures that are maintained by internal Watson-Crick pairing. Through analysis of chordate, arthropod, and plant 5S ribosomal RNA sequences, we show that Darwinian selection operates on these nucleotide sequences to maintain functionally important secondary structure. Insect phylogenies based on nucleotide positions involved in pairing and the production of seco...

In this paper, we define the sequence spaces wσ(u,Δ), [w]σ(u,Δ) and [wσ](u,Δ), where for any sequence x = (xk), the difference sequence Δx is given by Δx = (Δxk)k=1 = (xk − xk−1)k=1. We also study some inclusion relations and properties of the above mentioned spaces. These are generalizations of those defined and studied by Mursaleen, Gaur and Chishti in 1997 and some others. Mathematics Subjec...