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On convergence rate of approximation for two-dimensional Baskakov operators

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Analysis in Theory and Applications

Abstract

In this paper, we study the convergence rate of two-dimensional Baskakov operators with Jacobi-weights making use of multivariate decompose skills and results of one-dimensional Baskakov operators, and obtain the direct approximationtheorem.

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References

  1. Baskakov, V.A., An Example of a Sequence if Linear Positive Operators in the Spaces of Continuous Functions. Doki. Akad. Nauk. SSSR, 113(1957), 249–251. MR. 20#1153.

    MATH  MathSciNet  Google Scholar 

  2. Becker, M., Global Approximation Theorems for Szasz-Mirakjan and Baskakov Operators in Polynomial Weighted Spaces. Indian. Univ. Math. J., 27(1987), 127–142. MR. #12116.

    Article  Google Scholar 

  3. Ditzian, Z., On Global Inverse Theorems for Szasz and Baskakov Operators. Can J. Math., 2(1979), 255–263.

    MathSciNet  Google Scholar 

  4. Xuan Peicai, Rate of Convergence for Baskakov Operators with Jacobi-Weights. Acta Mathematicae Application Sinica, 18(1995), 129–139.

    MATH  Google Scholar 

  5. Zhou, D. X., Inverse Theorems for Multidimensional Benstein-Durrmeyer Operators inL p. JAT, 70(1992), 68–93.

    Article  MATH  Google Scholar 

  6. Zhou, D. X., Weighted Approximation by Multidimensional Bernstein Operators. J. Approx. Theory, 76(1994), 403–422.

    Article  MATH  MathSciNet  Google Scholar 

  7. Ditzian, Z. and Totik, V., Moduli of Smootheness. Springer-Verlag, New York, Berline, 1987.

    Google Scholar 

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Supported by the Zhejiang Provincial Natural Science Foundation.

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Guo, F. On convergence rate of approximation for two-dimensional Baskakov operators. Anal. Theory Appl. 19, 273–279 (2003). https://doi.org/10.1007/BF02835286

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  • DOI: https://doi.org/10.1007/BF02835286

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