Kantorovich Version of Vector-Valued Shepard Operators

Kantorovich Version of Vector-Valued Shepard Operators

In the present work, in order to approximate integrable vector-valued functions, we study the Kantorovich version of vector-valued Shepard operators. We also display some applications supporting our results by using parametric plots of a surface and a space curve. Finally, we also investigate how no...

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Veröffentlicht in:Axioms 2024-03, Vol.13 (3), p.181
Hauptverfasser: Duman, Oktay, Della Vecchia, Biancamaria, Erkus-Duman, Esra
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
approximation of vector-valued functions
Approximation theory
Cesàro summability
Kantorovich operators
Mathematical functions
Mathematical research
matrix summability methods
multivariate approximation
Operator theory
Operators (mathematics)
Shepard operators
Theorems
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Beschreibung
Zusammenfassung:In the present work, in order to approximate integrable vector-valued functions, we study the Kantorovich version of vector-valued Shepard operators. We also display some applications supporting our results by using parametric plots of a surface and a space curve. Finally, we also investigate how nonnegative regular (matrix) summability methods affect the approximation.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13030181