Bilal Altay

A class of conservative four-dimensional matrices.

The concepts and for double sequences were introduced by Patterson in 1999. In this paper, we have studied some new inequalities related to these concepts by using the RH-conservative four-dimensional matrices.

Weakly unconditionally Cauchy series and Fibonacci sequence spaces

We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we characterize the barreledness of a normed space via weakly∗ unconditionally Cauchy series in X∗

I2-convergence and I2-cauchy double sequences

X^{*}

On Some Euler Sequence Spaces of Nonabsolute Type

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Statistically boundedness and statistical core of double sequences

Abstract In this article, we prove a decomposition theorem for I 2 -convergent double sequences and introduce the notions of I 2 -Cauchy and I * 2 )-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly ( I 2 , I )-convergence and ( I 2 , I )-Cauchy double sequence.