In this paper we define and study the difference Orlicz space of entire sequence of fuzzy numbers. We study their different properties and statistical convergence in these spaces.

We obtain some topological results of the sequence spaces ∆m(X), where ∆m(X) = {x = (xk) : (∆xk) ∈ X}, (m ∈ N), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces ∆m(l∞),∆m(c), and ∆(c0). Also we show that any matrix map from ∆m(l∞) into a BK-space which does not contain any subspace isomorphic to ∆m(...

In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space , which is a special case of the paranormed Riesz -difference sequence space , . For this purpose, we apply the Hausdorff measure of noncompactness and use some results.

In this study, I introduce some new double sequence spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] as the domain of four-dimensional generalized difference matrix [Formula: see text] in the spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], respectively. I show that...

1. Preliminaries, background and notation By ω, we shall denote the space of all real valued sequences. Any vector subspace of ω is called as a sequence space. We shall write l∞, c and c0 for the spaces of all bounded, convergent and null sequences, respectively. Also by bs, cs, l1 and lp, we denote the spaces of all bounded, convergent, absolutely and p-absolutely convergent series, respective...

Consider a Gaussian nonparametric regression problem having both an unknown mean function and unknown variance function. This article presents a class of difference-based kernel estimators for the variance function. Optimal convergence rates that are uniform over broad functional classes and bandwidths are fully characterized, and asymptotic normality is also established. We also show that for ...

In this article we introduce the difference double sequence spaces 2`∞(∆, q), 2c(∆, q), 2c0(∆, q), 2c(∆, q), 2c0 (∆, q), 2c (∆, q) and 2c0 (∆, q) defined over a seminormed space (X, q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonocity, convergence free, nowhere densenes etc. We prove some inclusion results too.

In this paper, a new block design (punctured difference set pair) is presented, in order to do further research on perfect punctured binary sequence pair. Study the properties of punctured difference set pair, and show that a special class of punctured difference set pair is equivalent to perfect punctured binary sequence pair. Therefore, the corresponding perfect punctured binary sequence pair...

In this paper we define some new sequence spaces and give some topological properties of the sequence spaces χ (∆v , s, p) and Λ 3 (∆v , s, p) and investigate some inclusion relations.