Approximation properties of mixed sampling-Kantorovich operators

In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.

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Bibliographische Detailangaben
Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2021, Vol.115 (1), Article 4
Hauptverfasser:	Angeloni, Laura, Costarelli, Danilo, Vinti, Gianluca
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Convergence Mathematical and Computational Physics Mathematics Mathematics and Statistics Operators Original Paper Sampling Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-020-00936-x