Bivariate Positive Operators in Polynomial Weighted Spaces

Bivariate Positive Operators in Polynomial Weighted Spaces

This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums. With respect to these two new classes designed, we investigate their approximation properties in polynomial weigh...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.696-703-1173
1. Verfasser: Agratini, Octavian
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical research
Operator theory
Polynomials
Vector spaces
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Beschreibung
Zusammenfassung:This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums. With respect to these two new classes designed, we investigate their approximation properties in polynomial weighted spaces. The rate of convergence is established, and special cases of our construction are highlighted.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/850760