Boletim da Sociedade Paranaense de Matemática (Oct 2019)

Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence

  • Ayten Esi,
  • Mustafa Kemal Ozdemir,
  • Nagarajan Subramanian

DOI
https://doi.org/10.5269/bspm.v38i7.45874
Journal volume & issue
Vol. 38, no. 7

Abstract

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We obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from $H_{\omega}\left( K\right) $ to $C_{B}\left( K\right) $, where $K=[0,\infty)\times\lbrack0,\infty )\times\lbrack0,\infty)$ and $\omega$ is non-negative increasing function on $K$.