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Modified Kantorovich operators with better approximation properties

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Abstract

In the present paper, we study a new kind of Bernstein-Kantorovich-type operators. Here, we discuss a uniform convergence estimate for this modified form. Also, some direct estimates, which involve the asymptotic-type results, are established. Some numerical examples which show the relevance of the results are considered.

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Funding

The work of the third author was financed by the Lucian Blaga University of Sibiu research grant LBUS-IRG-2017-03.

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Authors and Affiliations

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

    Vijay Gupta

  2. Department of Mathematics, University of Architecture Civil Engineering and Geodesy, BG-1046, Sofia, Bulgaria

    Gancho Tachev

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

    Ana-Maria Acu

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

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Gupta, V., Tachev, G. & Acu, AM. Modified Kantorovich operators with better approximation properties. Numer Algor 81, 125–149 (2019). https://doi.org/10.1007/s11075-018-0538-7

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  • DOI: https://doi.org/10.1007/s11075-018-0538-7

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