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

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...

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2020-01, Vol.38 (7), p.69-83
Hauptverfasser: Esi, Ayten, Ozdemir, Mustafa Kemal, Subramanian, Nagarajan
Format: Artikel
Sprache:eng
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Zusammenfassung: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 $K$.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v38i7.45874