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

Year 2021, Volume: 3 Issue: 1, 20 - 29, 29.04.2021

Arulmani Indumathı , Ayhan Esi , Nagarajan Subramanian , Mustafa Kemal Özdemir

https://doi.org/10.47087/mjm.900156

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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