Almost convergent sequence spaces derived by the domain of quadruple band matrix

On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences

The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...

Some new sequence spaces derived by the domain of generalized difference matrix

1. Preliminaries, background and notation By a sequence space, we understand a linear subspace of the space ω = CN of all complex sequences which contains φ, the set of all finitely non-zero sequences, where C denotes the complex field and N = {0, 1, 2, . . .}. We write `∞, c, c0 and `p for the classical sequence spaces of all bounded, convergent, null and absolutely p-summable sequences, respe...

Some Classes of Almost Convergent Paranormed Sequence Spaces Defined by Orlicz Functions

Some I-convergent Sequence Spaces of Fuzzy Numbers Defined by Infinite Matrix

In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces. Key WordsIdeal, I -convergent, infinite matrix, Orlicz function, fuzzy number.

Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm

Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also...