Dunkl analouge of Sz$ \acute{a} $sz Schurer Beta bivariate operators
Vishnu Narayan Mishra, Mohd Raiz, Nadeem Rao
Abstract
<p style='text-indent:20px;'>The motive of this research article is to introduce a sequence of Sz<inline-formula><tex-math id="M2">\begin{document}$ \acute{a}sz $\end{document}</tex-math></inline-formula> Schurer Beta bivariate operators in terms of generalization exponential functions and their approximation properties. Further, preliminaries results and definitions are presented. Moreover, we study existence of convergence with the aid of Korovkin theorem and order of approximation via usual modulus of continuity, Peetre's K-functional, Lipschitz maximal functional. Lastly, approximation properties of these sequences of operators are studied in B<inline-formula><tex-math id="M3">\begin{document}$ \ddot{o} $\end{document}</tex-math></inline-formula>gel space via mixed modulus of continuity.