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q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces

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  • Mediha Örkcü

Abstract

The present paper deals with approximation properties of q‐Szász‐Mirakyan‐Kantorovich operators. We construct new bivariate generalization by qR‐integral and these operators′ approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya‐type theorem for the proposed operators in polynomial weighted spaces of functions of two variables.

Suggested Citation

  • Mediha Örkcü, 2013. "q‐Szász‐Mirakyan‐Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
  • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:823803
    DOI: 10.1155/2013/823803
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    References listed on IDEAS

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    1. Octavian Agratini, 2013. "Bivariate Positive Operators in Polynomial Weighted Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    2. Octavian Agratini, 2013. "Bivariate Positive Operators in Polynomial Weighted Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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