Abstract
In this paper we introduce the backward operator is $\nabla$ and study the notion of $\nabla-$ statistical convergence and $\nabla-$ statistical Cauchy sequence using by almost $\left(\lambda_{m}\mu_{n}\right)$ convergence in $\chi^{2}-$Riesz space and also some inclusion theorems are discussed.
Highlights
The vector space of all double analytic sequences are usually denoted by Λ2
For a given sequence of Musielak-Orlicz function M, the Musielak-Orlicz sequence space tM is defined as follows tM = x ∈ w2 : IM (|xmn|)1/m+n → 0 as m, n, k → ∞, where IM is a convex modular defined by IM (x) =
Let x = (xmn) be a backwards operator of ∇−statistically convergent sequence in χ2Mτ ACλmμn , P, (d (x1, 0) , d (x2, 0) , · · · , d (xn−1, 0)) p
Summary
The vector space of all double analytic sequences are usually denoted by Λ2. A sequence x = (xmn) is called double entire sequence if. Let M be an Orlicz function and P = (pmn) be any factorable double sequence of strictly positive real numbers, we define the following sequence space: χ 2M ACλmμn , P =
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