Abstract A sequence (α _ k)(α k) of points in RR, the set of real numbers, is called ρ ρ-
statistically convergent to an element ℓ ℓ of RR if _ n → ∞ 1 ρ _ n|{k ≤ n:| α _ k-ℓ| ≥ ε\}|= 0 …

In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real
sequence in the sense that a sequence (k) is lacunary statistically p-quasi-Cauchy if …

In this paper, we investigate the concept of Abel statistical delta quasi Cauchy sequences. A
real function f is called Abel statistically delta ward continuous it preserves Abel statistical …

A lacunary sequence is an increasing integer sequence θ=(k_r) θ=(kr) such that k_r-k_ r-1
→ ∞ kr-kr-1→∞ as r → ∞. r→∞. In this article, we introduce arithmetic statistically …

In this paper, we introduce arithmetic ${\mathcal {I}} $-statistically convergent sequence
space $ A {\mathcal {I}} SC $, ${\mathcal {I}} $-lacunary arithmetic statistically convergent …

In this article we introduce and study the lacunary arithmetic convergent sequence space $
AC_ {\theta} $. Using the idea of strong Ces\{a} ro summable sequence and arithmetic …

In this paper, we investigate the concepts of downward continuity and upward continuity. A
real valued function on a subset E of R, the set of real numbers, is downward continuous if it …

This study involves new notions of continuity of mapping between quasi-cone metrics
spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all …

Using the notion of forward and backward arithmetic convergence in asymmetric metric
space, we define arithmetic $ ff $-continuity and arithmetic $ fb $-continuity and prove some …

This work introduces the hyperbolic\(k\)-Padovan quaternion sequence, performing the
process of complexification of linear and recurrent sequences, more specifically of the …