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Better Numerical Approximation by Durrmeyer Type Operators

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Abstract

The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.

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Acknowledgements

Project financed from Lucian Blaga University of Sibiu research Grants LBUS-IRG-2018-04.

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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 University of Technology (Formerly Netaji Subhas Institute of Technology), Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta

  3. Department of Mathematics, University of Architecture Civil Engineering and Geodesy, 1046, Sofia, Bulgaria

    Gancho Tachev

Authors
  1. Ana-Maria Acu
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  2. Vijay Gupta
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  3. Gancho Tachev
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Correspondence to Ana-Maria Acu.

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Dedicated to professor Heiner Gonska on the occasion of his 70th birthday.

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Acu, AM., Gupta, V. & Tachev, G. Better Numerical Approximation by Durrmeyer Type Operators. Results Math 74, 90 (2019). https://doi.org/10.1007/s00025-019-1019-6

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