On $\left( p,q\right) $-analog of Stancu operators of rough $\lambda$- statistically $\rho$-Cauchy convergence of triple sequence spaces

Abstract

In this work, using the concept of natural density, we introduce the $\left(
 p,q\right) $-analogue of the Stancu-beta operators of rough $\lambda$%
 -statistically $\rho$-Cauchy convergence on triple sequence spaces. We define
 the set of Bernstein Stancu beta opeators of rough statistical limit points of
 a triple sequence spaces and obtain to $\lambda-$statistical convergence
 criteria associated with this set. Also, we examine the relations between the
 set of Bernstein-Stancu beta operators of rough $\lambda$-statistically
 $\rho$-Cauchy convergence of triple sequences.