In this paper, we investigate approximation properties of the Stancu type generalization of the $\alpha$-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators. Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
ÇETİN, NURSEL and RADU, VOICHITA ADRIANA
"Approximation by generalized Bernstein-Stancu operators,"
Turkish Journal of Mathematics: Vol. 43:
4, Article 18.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss4/18