I-Convergent Triple Sequence Spaces over n-Normed Space

Proyecciones (Antofagasta)

Triple sequence spaces were introduced by Sahiner et al. [27, 28]. The main objective of this paper is to define some new classes of triple sequences over n-normed space by means of Museiak-Orlicz function and difference operators. We also study some algebraic and topological properties of these new sequence spaces.

2018

The main objective of this paper is to introduce classes of $I$-convergent triple difference sequence spaces, $c_{0I}^{3}(\Delta,\digamma)$, $c_{I}^{3}(\Delta,\digamma)$, $\ell_{\infty I}^{3}(\Delta,\digamma)$, $M_{I}^{3}(\Delta,\digamma)$ and $M_{0I}^{3}(\Delta,\digamma)$, by using sequence of modulii function $\digamma=(f_{pqr})$. We also study some algebraic and topological properties of these new sequence spaces.

2015

In the present paper we introduce some double sequence spaces defined by a sequence of modulus function F = (fk,l) over n-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.

2014

In the present paper we introduce some double sequence spaces defined by a sequence of modulus function F =( fk,l) over n-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.

2018

The main objective of this paper is to introduce classes of I-convergent triple difference sequence spaces, c 0I(∆,̥), c 3 I(∆,̥), l 3 ∞I(∆,̥), M 3 I (∆,̥) and M 3 0I(∆,̥), by using sequence of modulii function ̥ = (fpqr). We also study some algebraic and topological properties of these new sequence spaces. AMS Subject Classification: 40C05, 46A45, 46E30.

2011

In this article we introduce the sequence spaces c I 0 (f), c I (f) and l I ∞ (f) for a modulus function f and study some of the properties of these spaces. Keywords: Ideal, filter,modulus function, Lipschitz function, I-convergence field, I-convergent, monotone and solid spaces. 2000 MSC: 40A05, 40A35, 40C05, 46A45.

Journal of applied mathematics & informatics, 2014

In this article we introduce the sequence spaces c I 0 (f, p), c I (f, p) and l I ∞ (f, p) for a modulus function f , p = (p k) is a sequence of positive reals and study some of the properties of these spaces.

Theory and Applications of Mathematics & Computer Science, 2012

In this article we introduce the sequence spaces $c^{I}_{0}(f,p)$, $c ^{I}(f,p)$ and $l^{I}_{\infty}(f,p)$ for a modulus function $f$, $p=(p_{k})$ is a sequence of positive reals and study some of the properties of these spaces.

Creative Mathematics and Informatics, 2012

In the present paper we introduce double sequence spaces defined by a sequence of modulus functions F = (fk,l). We also make an effort to study some topological properties and inclusion relations between these spaces.