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Bivariate q-Bernstein-Schurer-Kantorovich Operators

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Abstract

The purpose of this paper is to construct a bivariate generalization of a new kind of Kantorovich type q-Bernstein-Schurer operators. We give the rate of convergence by using the modulus of continuity and the degree of approximation by means of Lipschitz type class. Finally, we obtain a Voronovskaja type asymptotic theorem for the bivariate operators.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    P. N. Agrawal & A. Sathish Kumar

  2. Department of Mathematics, Babeş-Bolyai University, 1, M. Kogălniceanu st., 400084, Cluj-Napoca, Romania

    Zoltán Finta

Authors
  1. P. N. Agrawal
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  2. Zoltán Finta
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  3. A. Sathish Kumar
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Correspondence to Zoltán Finta.

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Agrawal, P.N., Finta, Z. & Kumar, A.S. Bivariate q-Bernstein-Schurer-Kantorovich Operators. Results. Math. 67, 365–380 (2015). https://doi.org/10.1007/s00025-014-0417-z

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