
doi: 10.3934/mfc.2021026
<p style='text-indent:20px;'>In this paper we deal with bivariate extension of Jain operators. Using elementary method, we show that these opearators are non-increasing in <inline-formula><tex-math id="M1">\begin{document}$ n $\end{document}</tex-math></inline-formula> when the attached function is convex. Moreover, we demonstrate that these operators preserve the properties of modulus of continuity. Finally, we present a Voronovskaja type theorem for the sequence of bivariate Jain operators.</p>
modulus of continuity, Approximation by positive operators, Multidimensional problems, Rate of convergence, degree of approximation, Voronovskaja type theorem, monotonicity, bivariate Jain operator
modulus of continuity, Approximation by positive operators, Multidimensional problems, Rate of convergence, degree of approximation, Voronovskaja type theorem, monotonicity, bivariate Jain operator
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