Fridy and Miller have given a characterization of statistical convergence for bounded single sequence, by matrix summability methods. The analogues of the some of the results for double sequences were proved by H.I. Miller and Leila Miller-Van Wieren. In this paper we define the statistical convergence of double sequences in a non-trivially valued non-archimedean field K and prove a theorem on ...

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...

Based on the concept of lacunary statistical convergence sequences fuzzy numbers, convergence, uniformly and equi-lacunary double fuzzy-valued functions are defined investigated in this paper. The relationship among functions, their representations ? -level cuts discussed. In addition, we obtain form Egorov’s theorem for...

For sequences of fuzzy numbers, Nanda 1 studied the sequences of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers forms a complete metric space. Kwon 2 introduced the definition of strongly p-Cesàro summability of sequences of fuzzy numbers. Savaş 3 introduced and discussed double convergent sequences of fuzzy numbers and showed that the set of all double conve...

We propose three time-splitting schemes for nonlinear time-fractional differential equations with smooth solutions, where the order of the fractional derivative is 0 < α < 1. While one of the schemes is of order α, the other two schemes are of order 1 + α and 2 − α and thus they can be combined to provide flexible numerical methods with convergence order no less than 3/2. We prove the convergen...