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.

Keywords

• $\left( p,q\right) -$ calculus
• $\rho$-Cauchy
• $r\lambda $-statistical convergence
• Bernstein Stancu beta operators
• rough statistical convergence
• natural density
• triple sequences

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