Abstract William Henry Ruckle introduced the notion of arithmetic convergence in the sense
that a sequence defined on the set of natural numbers is said to be arithmetic convergent if …

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 …

The study of summability theory and convergence of sequences in different spaces has
become a significant topic in mathematical analysis. In the literature, researchers have …

In this paper we have introduced arithmetic ff-continuity and arithmetic fb-continuity utilizing
the concept of forward and backward arithmetic convergence in quasi cone metric spaces …

We introduce the idea of gradually (λ, µ)-statistical convergence with regards to the n-norm
in gradual n-normed linear space (GNnLS) in this study. We look at certain inclusion …

In this study, we investigate the notions of the Wijsman ℐ2‐statistical convergence, Wijsman
ℐ2‐lacunary statistical convergence, Wijsman strongly ℐ2‐lacunary convergence, and …

We investigate the rough statistical convergence of complex uncertain triple sequences in
this research. We show three forms of rough statistically convergent complex uncertain triple …

This work is concerned with several important different types of convergence that will be
described on neutrosophic normed spaces. In the study, arithmetic convergence was …

We introduce the idea of gradually (λ, µ)-statistical convergence with regards to the n-norm
in gradual n-normed linear space (GNnLS) in this study. We look at certain inclusion …

In this chapter, we introduce and study intuitionistic fuzzy generalized Lucas ideal
convergent sequence spaces defined by lacunary sequence and Orlicz function. Further, we …