Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters

Motivated by certain generalizations, in this paper we consider a new analogue of modified Szá sz-Mirakyan-Durrmeyer operators whose construction depends on a continuously differentiable, increasing and unbounded function \begin{document}$ \tau $\end{document} with extra parameters \begin{document}$ \mu $\end{document} and \begin{document}$ \lambda $\end{document} . Depending on the selection of \begin{document}$ \mu $\end{document} and \begin{document}$ \lambda $\end{document} , these operators are more flexible than the modified Szá sz-Mirakyan-Durrmeyer operators while retaining their approximation properties. For these operators we give weighted approximation, Voronovskaya type theorem and quantitative estimates for the local approximation.