Annals of Fuzzy Mathematics and Informatics

The Natural Science Institute Wonkwang University (원광대학교 기초자연과학연구소)
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On triple sequence space of Bernstein-Stancu operator of rough Iλ-statistical convergence of weighted g (A)

  • Esi, A. (Department of Mathematics, Adiyaman University) ;
  • Subramanian, N. (School of Humanities and Sciences, SASTRA Deemed University) ;
  • Esi, Ayten (Department of Mathematics, Adiyaman University)
  • Received : 2018.06.08
  • Accepted : 2018.08.15
  • Published : 2018.12.25
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Abstract

We introduce and study some basic properties of rough $I_{\lambda}$-statistical convergent of weight g (A), where $g:{\mathbb{N}}^3{\rightarrow}[0,\;{\infty})$ is a function statisying $g(m,\;n,\;k){\rightarrow}{\infty}$ and $g(m,\;n,\;k){\not{\rightarrow}}0$ 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 (A) limits of a triple sequence of Bernstein-Stancu polynomials.

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References

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