%0 Journal Article
%T Parametric generalization of Baskakov operators
%A Aral
%A Ali
%A Erbay
%A Hasan
%J -
%D 2019
%X Sa£¿etak Herein we propose a non-negative real parametric generalization of the Baskakov operators and call them as $\alpha$-Baskakov operators. We show that $\alpha$-Baskakov operators can be expressed in terms of divided differences. Then, we obtain $n$th order derivative of $\alpha$-Baskakov operators in order to obtain its new representation as powers of independent variable $x$. In addition, we obtain Korovkin¡¯s type approximation properties of $\alpha$-Baskakov operators. Moreover, by using the modulus of continuity, we obtain the rate of convergence. Numerical results presented show that depending on the value of the parameter $\alpha$, an approximation to a function improves compared to the classical Baskakov operators
%K Baskakov operator
%K divided differences
%K modulus of contiunity
%K weighted approximation
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=314488