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Bivariate Positive Operators in Polynomial Weighted Spaces

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  • Octavian Agratini

Abstract

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.

Suggested Citation

  • Octavian Agratini, 2013. "Bivariate Positive Operators in Polynomial Weighted Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:850760
    DOI: 10.1155/2013/850760
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