On Zweier I-convergent sequence spaces

Filomat, 2016

In this article we introduce the Zweier I-convergent double sequence spaces 2ZI, 2ZI0 and 2ZI1. We prove the decomposition theorem and study topological properties, algebraic properties and some inclusion relations on these spaces.

2013

In this article we introduce the sequence spaces V I 0σ(m, ) and V I σ (m, ) and study some of the properties and inclusion relations on these spaces. Mathematics Subject Classification: 40A05, 40A35, 40C05, 46A45

Theory and Applications of Mathematics Computer Science, 2014

In this article we introduce the sequence spaces Z I (F), Z I 0 (F) and Z I ∞ (F) for a sequence of moduli F = ( f k ) and study some of the topological and algebraic properties on these spaces.

Journal of Mathematics, 2013

In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.

Cogent Mathematics, 2016

In this article, we introduce the Zweier Paranorm I-convergent double sequence spaces 2  I (q), 2  I 0 (q) and 2  I ∞ (q) for q = (q ij), a sequence of positive real numbers. We study some algebraic and topological properties on these spaces.

Afrika Matematika, 2013

In this article we introduce the sequence spaces $$\mathcal Z ^{I}(f)$$ZI(f), $$\mathcal Z ^{I}_{0}(f)$$Z0I(f) and $$\mathcal Z ^{I}_{\infty }(f)$$Z∞I(f) for a modulus function $$f$$f and study some of the topological and algebraic properties on these spaces.

Analysis, 2012

The sequence space BV was introduced and studied by Mursaleen [10]. In this article we introduce the sequence space BV I and study some of the properties of this space.

Applied Mathematics and Computation, 2004

The idea of difference sequence spaces was introduced by Kızmaz [Canad. Math. Bull. 24 (1981) 169] and this concept was generalized by Et and C ß olak [Soochow J. Math. 21 (1995) 337]. In this paper we define the sequence spaces ' 1 ðpÞðD r v Þ, cðpÞðD r v Þ, c 0 ðpÞðD r v Þ and cðpÞðD r v Þ, ðr 2 NÞ, give some topological properties and inclusion relations of these sequence spaces.

Mathematica Slovaca, 2009

In this article we introduced the sequence spaces ( ), 0 ( ), ( ) and 0 ( ) for = ( ), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition theorem and obtain some inclusion relations. c ⃝2009 Mathematical Institute Slovak Academy of Sciences 2000 M a t h e m a t i c s S u b j e c t C l a s s i f i c a t i o n: Primary 40A05, 46A45. K e y w o r d s: ideal, filter, -convergent, -null, paranorm.

Mathematical Inequalities & Applications, 2008

In this article we introduce the sequence spaces c I (Λ) , c I 0 (Λ) , m I (Λ) and m I 0 (Λ) associated with the multiplier sequence Λ = (λ k) of non-zero scalars. We study the different algebraic and topological properties of these sequence spaces like solidness, symmetricity, sequence algebra, convergence free etc. Also we characterize the multiplier problem and obtain some inclusion relation involving these sequence spaces.