Better approximation results by Bernstein–Kantorovich operators
- Authors: Dhamija M.1, Deo N.1
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Affiliations:
- Department of Applied Mathematics
- Issue: Vol 38, No 1 (2017)
- Pages: 94-100
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198682
- DOI: https://doi.org/10.1134/S1995080217010085
- ID: 198682
Cite item
Abstract
In this paper, we give a King-type modification of the Bernstein–Kantorovich operators and study the approximation properties of these operators. We prove that the error estimation of these operators is better than the classical Bernstein–Kantorovich operators. We also give some estimations for the rate of convergence of these operators by using the modulus of continuity. Furthermore, we obtain a Voronovskaya-type asymptotic formula for these operators.
Keywords
About the authors
M. Dhamija
Department of Applied Mathematics
Author for correspondence.
Email: minakshidhamija11@gmail.com
India, Bawana Road, Delhi, 110042
N. Deo
Department of Applied Mathematics
Email: minakshidhamija11@gmail.com
India, Bawana Road, Delhi, 110042