On triple sequence space of Bernstein-Stancu operator of rough $I_{\lambda}% -$statistical convergence of weighted $g\left( A\right) $
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We introduce and study some basic properties of rough $I_{\lambda}% -$statistical convergent of weight $g\left( A\right) $, where $g:\mathbb{N}% ^{3}\rightarrow\left[ 0,\infty\right) $ is a function statisying $g\left( m,n,k\right) \rightarrow\infty$ and $g\left( m,n,k\right) \not \rightarrow 0$ as $m,n,k\rightarrow\infty$ and $A$ represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight $g\left( A\right) $ limits of a triple sequence of Bernstein-Stancu polynomials.
Abstract
We introduce and study some basic properties of rough $I_{\lambda}% -$statistical convergent of weight $g\left( A\right) $, where $g:\mathbb{N}% ^{3}\rightarrow\left[ 0,\infty\right) $ is a function statisying $g\left( m,n,k\right) \rightarrow\infty$ and $g\left( m,n,k\right) \not \rightarrow 0$ as $m,n,k\rightarrow\infty$ and $A$ represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight $g\left( A\right) $ limits of a triple sequence of Bernstein-Stancu polynomials.
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