Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1903-109
Keywords
Stancu operators, $\alpha$-Bernstein operators, moduli of continuity, rate of convergence, Voronovskaya type theorem
First Page
2032
Last Page
2048
Recommended Citation
ÇETİN, N, & RADU, V. A (2019). Approximation by generalized Bernstein-Stancu operators. Turkish Journal of Mathematics 43 (4): 2032-2048. https://doi.org/10.3906/mat-1903-109
