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Blending-type approximation by generalized Lupaş–Durrmeyer-type operators

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Abstract

In this note, we present a Durrmeyer-type modification of generalized Lupaş operators depending on certain parameter \(\rho >0\). We establish quantitative asymptotic result, some direct results, weighted approximation and the order of convergence for the functions having a derivative equivalent with a function of bounded variation for these operators.

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Acknowledgements

The authors wishes to thank the referee for her/his suggestions which definitely improved the final form of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Central University of Haryana, Haryana, 123031, India

    Arun Kajla

  2. School of Mathematics, Thapar University, Patiala, India

    Meenu Goyal

Authors
  1. Meenu Goyal
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  2. Arun Kajla
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Correspondence to Arun Kajla.

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Goyal, M., Kajla, A. Blending-type approximation by generalized Lupaş–Durrmeyer-type operators. Bol. Soc. Mat. Mex. 25, 551–566 (2019). https://doi.org/10.1007/s40590-018-0204-z

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  • DOI: https://doi.org/10.1007/s40590-018-0204-z

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