Matrix transformation on statistically convergent sequence spaces of interval number sequences (original) (raw)

On Some Properties of Interval Matrices

2007

By using a new set of arithmetic operations on interval numbers, we discuss some arithmetic properties of interval matrices which intern helps us to compute the powers of interval matrices and to solve the system of interval linear equations. Keywords—Interval arithmetic, Interval matrix, linear equations.

A note on checking regularity of interval matrices

Linear and Multilinear Algebra, 1995

It is proved that two previously known sufficient conditions for regularity of interval matrices are equivalent in the sense that they cover the same class of interval matrices.

A new sequence space and matrix transformations

Thai Journal of Mathematics

The main purpose of this paper is to define the sequence space bs(p,s)and determine the necessary and sufficient conditions on the matrix sequence A = (A i ) in order that A ∈ (X, Y ), where X = l ∞ (p, s), bs(p, s) and Y = l ∞ , f, bs, f s.These results are more general than those of Lascarides and Maddox[6],Basar Solak[3],Nanda[10] and Solak .

Matrix Transformations on Some Difference Sequence Spaces

IOSR Journal of Mathematics, 2013

The sequence spaces ∞ (, , ∆), 0 (, , ∆) and (, , ∆) were recently introduced. The matrix classes (, , ∆ :) and (, , ∆ : ∞) were characterized. The object of this paper is to further determine the necessary and sufficient conditions on an infinite matrix to characterize the matrix classes (, , ∆ ∶) and (, , ∆ ∶). It is observed that the later characterizations are additions to the existing ones.

A New Sufficient Condition for Regularity of Interval Matrices

We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking positive definiteness of interval matrices. Comparing it with Beeck's strong regularity condition, we show by counterexamples that none of the two conditions is more general than the other one. Above: logo of interval computations and related areas (depiction of the solution set of the system [2, 4]x 1 + [−2, 1]x 2 = [−2, 2], [−1, 2]x 1 + [2, 4]x 2 = [−2, 2] (Barth and Nuding [1])).

On some difference sequence spaces of interval numbers

Proyecciones (Antofagasta)

In this paper we introduce the sequence spaces c 0 i (∆) ,c i (∆) and i ∞ (∆) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces.

λ-Sequence Spaces of Interval Numbers

Applied Mathematics & Information Sciences, 2014

In this paper we introduce and study the concepts of strongly λ-convergence and statistically λ-convergence for interval numbers. We give some relations related to these concepts. The results are more general than the Mursaleen's results in [5].