A Definition of Two-Dimensional Schoenberg Type Operators

In this paper, a way to build two-dimensional Schoenberg type operators with arbitrary knots or with equidistant knots, respectively, is presented. The order of approximation reached by these operators was studied by obtaining a Voronovskaja type asymptotic theorem and using estimates in terms of se...

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Veröffentlicht in:	Symmetry (Basel) 2020-08, Vol.12 (8), p.1364
Hauptverfasser:	Moldovan, Camelia Liliana, Păltănea, Radu
Format:	Artikel
Sprache:	eng
Schlagworte:	Knots Operators order of approximation spline surfaces two-dimensional Schoenberg type operators two-dimensional splines
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Zusammenfassung:	In this paper, a way to build two-dimensional Schoenberg type operators with arbitrary knots or with equidistant knots, respectively, is presented. The order of approximation reached by these operators was studied by obtaining a Voronovskaja type asymptotic theorem and using estimates in terms of second-order moduli of continuity.
ISSN:	2073-8994 2073-8994
DOI:	10.3390/sym12081364