Better approximation results by Bernstein–Kantorovich operators
- Авторы: Dhamija M.1, Deo N.1
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Учреждения:
- Department of Applied Mathematics
- Выпуск: Том 38, № 1 (2017)
- Страницы: 94-100
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198682
- DOI: https://doi.org/10.1134/S1995080217010085
- ID: 198682
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Аннотация
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.
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Об авторах
M. Dhamija
Department of Applied Mathematics
Автор, ответственный за переписку.
Email: minakshidhamija11@gmail.com
Индия, Bawana Road, Delhi, 110042
N. Deo
Department of Applied Mathematics
Email: minakshidhamija11@gmail.com
Индия, Bawana Road, Delhi, 110042