In this paper, we define (λ, μ)statistical convergence and (λ, μ)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where λ = (λn) and μ = (μm) be two non-decreasing sequences of positive real numbers such that each tending to ∞ and λn+1 ≤ λn +1, λ1 = 1; μm+1 ≤ μm + 1, μ1 = 1. We display example that shows our method of convergence is more general for do...

Forced intercalation (FIT) probes have proven to be a reliable, rapid, inexpensive, and accurate method for the detection visualization of specific nucleic acid sequences. The accommodation rationally designed chromone-based fluorogen within double-stranded DNA structure was investigated by UV–Vis spectrophotometry steady-state fluorescence spectroscopy under physiological pH conditions. After ...

We characterized at the molecular level the genomic rearrangements in 28 unrelated patients with 9q34.3 subtelomeric deletions. Four distinct categories were delineated: terminal deletions, interstitial deletions, derivative chromosomes and complex rearrangements; each results in haploinsufficiency of the EHMT1 gene and a characteristic phenotype. Interestingly, 25% of our patients had de novo ...

for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets  $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [...

Abstract Quite recently, the concept of intuitionistic fuzzy 2-normed spaces was introduced by Mursaleen and Lohani [6]. Also, Mursaleen and Mohiuddine [7] have studied the notion of statistical convergence of double sequences in intuitionistic fuzzy normed spaces. In this paper, we study the concept of statistically convergent and statistically Cauchy double sequences in intuitionistic fuzzy 2...

A four-dimensional matrix transformation is said to be regular if it maps every bounded-convergent double sequence into a convergent sequence with the same limit. Firstly, Robison [G.M. Robison, Divergent double sequences and series, Trans. Amer. Math. Soc. 28 (1926) 50–73] presented the necessary and sufficient conditions for regular matrix transformations of double sequences. In this paper, t...

Let χ denote the space of all double gai sequences. Let Λ denote the space of all double analytic sequences. This paper is to introduce a new class of sequence spaces namely the semi difference Orlicz space of Λ. It is shown that the intersection of all semi difference Orlicz space of Λ is I ⊂ η and Λ ⊂ I.

In this study, we introduce the notion of pointwise and uniform statistical convergence of double sequences of real-valued functions. We also give the relations between these convergences and pointwise,uniform convergence. Furthermore, we introduce the concept of statistically Cauchy sequence and study statistical analogue of convergence and Cauchy criterion for double sequences of real-valued ...

In this paper we extend the notion of λ-statistical convergence to the (λ, μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ.

In this paper we study the concepts of I-Cauchy and I∗-Cauchy for double sequences in a linear metric space. Also, we give the relation between I-convergence and I∗-convergence of double sequences of functions defined between linear metric spaces.