On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

The goal of this research article is to introduce a sequence of α–Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis an...

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Veröffentlicht in:Mathematics (Basel) 2022-09, Vol.10 (18), p.3227
Hauptverfasser: Heshamuddin, Md, Rao, Nadeem, Lamichhane, Bishnu P., Kiliçman, Adem, Ayman-Mursaleen, Mohammad
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Sprache:eng
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Zusammenfassung:The goal of this research article is to introduce a sequence of α–Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis and convergence of the operators for certain functions are presented numerically and graphically. Furthermore, two-dimensional α–Stancu–Schurer–Kantorovich operators are constructed and their rate of convergence, graphical representation of approximation and numerical error estimates are presented.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10183227