the concept of statistical convergence in 2-normed spaces fordouble sequence was introduced in [17]. in the first, we introduceconcept strongly statistical convergence in $2$- normed spaces andgeneralize some results. moreover,  we define the concept of statisticaluniform convergence in $2$- normed spaces and prove a basictheorem of uniform convergence in double sequences to the case ofstatisti...

This paper is devoted to studying the statistical approximation properties of a sequence univariate and bivariate blending-type Bernstein operators that includes shape parameters ? ? positive integer. An estimate corresponding rates was obtained, Voronovskaja-type theorem given by weighted A-statistical convergence. A Korovkin-type provided for cases operators. Moreover, convergence behavior ne...

Testable weighted graph parameters and equivalent notions of testability – proved in [4] for simple graphs – are generalized for vertexand edge-weighted graphs with no dominant vertex-weights. We prove that certain balanced minimum multiway cut densities are testable. Using this fact, quadratic programming techniques are applied to approximate some of these quantities. The problem is related to...

the goal of this paper is to generalize the recently introduced summability method and introduce double statistical convergence of order  by using ideal. we also investigate certain properties of this convergence.

Let  be a sequence of arbitrary random variables with  and , for every  and  be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on  and sequence .

in this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. we give the relations between the strongly almost cesàro type convergence and almost statistical convergence in these spaces. furthermore, we study some of their properties like completeness, solidity, symmetricity etc. we also give some inclusion relations related to t...

the concept of ${mathscr{f}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{f}}$. its equivalence to the concept of ${mathscr{f}}$-convergence in uniform spaces is proved. this convergence generalizes many kinds of convergence, including the well-known statistical convergence.

In this paper, we will discuss the concept of almost sure convergence for specic groups of fuzzyrandom variables. For this purpose, we use the type of generalized Chebyshev inequalities.Moreover, we show the concept of almost sure convergence of weighted average pairwise NQDof fuzzy random variables.