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Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators

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Abstract

The present paper pertains to special approximation properties of certain (p, q)-Durrmeyer variant. The local and global approximation results are estimated along with comparison to the optimal convergence using the technique given by King. Graphically, we illustrate the convergence of these operators for different values of the two parameters p and q using MATLAB.

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Acknowledgements

The work of the first author was financed from Lucian Blaga University of Sibiu Research Grants LBUS-IRG-2017-03.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, 550012, Sibiu, Romania

    Ana Maria Acu

  2. Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta & Neha Malik

Authors
  1. Ana Maria Acu
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  2. Vijay Gupta
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  3. Neha Malik
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Correspondence to Ana Maria Acu.

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Communicated by Dan Volok.

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Acu, A.M., Gupta, V. & Malik, N. Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators. Complex Anal. Oper. Theory 12, 1973–1989 (2018). https://doi.org/10.1007/s11785-017-0714-0

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  • DOI: https://doi.org/10.1007/s11785-017-0714-0

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