GBS operators of Bernstein–Schurer–Kantorovich type based on q-integers

Manjari Sidharth, Nurhayat Ispir and P.N. Agrawal

Applied Mathematics and Computation, 2015, vol. 269, issue C, 558-568

Abstract: Agrawal et al. (2015) constructed a bivariate generalization of a new kind of Kantorovich-type q-Bernstein–Schurer operators and studied a Voronovskaja type theorem and the rate of convergence in terms of the Lipschitz class function and the complete modulus of continuity. The concern of this paper is to obtain the degree of approximation for these bivariate operators in terms of the partial moduli of continuity and the Peetre’s K-functional. Finally, we construct the GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein–Schurer–Kantorovich type and estimate the rate of convergence for these operators with the help of mixed modulus of smoothness.

Keywords: q-Bernstein–Schurer–Kantorovich operators; Partial moduli of continuity; B-continuous; B-differentiable; GBS operators; Modulus of smoothness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:558-568

DOI: 10.1016/j.amc.2015.07.052

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