This paper introduces the idea of Deferred-statistical A-convergence of order β of the sequence of  fuzzy numbers by using  a regular matrix Aand Deferred Ces\`{a}ro mean $D_{p,q}$. Also,  we establish some relations between the proposed idea and the strong  Deferred A-summability of  sequences of fuzzy  numbers. As an application, we apply this newly  statistical convergence for proving fuzzy Korovkin-type approximation theorem. Some illustrative examples are provided to justify the results obtained from this investigation.

In this paper, we introduce the notion of Deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion. Finally, we introduce the concept of Deferred statistical Cauchy sequence and show that Deferred statistical Cauchy sequences are equivalent to Deferred statistical convergent sequences in the neutrosophic normed spaces.

The notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence. This work aims to investigate and present (presumably new) the statistical versions of Deferred weighted Riemann integrability and Deferred weighted Riemann summability for sequences of fuzzy functions. We first interrelate these two lovely theoretical notions by establishing an inclusion theorem. We then state and prove two fuzzy Korovkin-type theorems based on our proposed helpful and potential notions. We also demonstrate that our results are the nontrivial extensions of several known fuzzy Korovkin-type approximation theorems given in earlier works. Moreover, we estimate the statistically Deferred weighted Riemann summability rate supported by another promising new result. Finally, we consider several interesting exceptional cases and illustrative examples supporting our definitions and the results presented in this paper.

In this paper, the notion of (`N, pn )-summability to generalize the concept of statistical convergence is used. We call this new method weighted statistically convergence. We also establish its relationship with statistical convergence, (C, 1)-summability and strong (`N, pn )-summability.

In this paper we investigate the notion of I-statistical convergence and introduce I-st limit points and I-st cluster points of real number sequence and also studied some of its basic properties.

In this paper, we define strong Deferred summability and Deferred statistical summability in intuitionistic fuzzy \(n\)-normed linear spaces (briefly called IF-\(n\)-NLS) and study some of their properties. We also define Deferred statistical Cauchy sequence Deferred statistical completeness and characterize Deferred statistical summability in such spaces. Finally, we will compare Deferred statistical summability for different pairs of sequences $\alpha(\ell)$, $\gamma(\ell)$,$u(\ell)$ and $v(\ell)$ satisfying $\alpha(\ell) \leq u(\ell) < v(\ell) \leq \gamma(\ell)$.