Bivariate Positive Operators in Polynomial Weighted Spaces
Author(s) -
Octavian Agratini
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/850760
Subject(s) - mathematics , univariate , bivariate analysis , extension (predicate logic) , convergence (economics) , polynomial , series (stratigraphy) , rate of convergence , discrete mathematics , pure mathematics , algebra over a field , multivariate statistics , mathematical analysis , statistics , paleontology , channel (broadcasting) , computer science , economics , biology , programming language , economic growth , engineering , electrical engineering
This paper aims to two-dimensional extension of some univariatepositive approximation processes expressed by series. To be easierto use, we also modify this extension into finite sums. With respect to thesetwo new classes designed, we investigate their approximation properties inpolynomial weighted spaces. The rate of convergence is established, andspecial cases of our construction are highlighted
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