Approximation on bivariate of Durrmeyer operators based on beta function (Q6621092)

The present article is an extension of Durrmeyer type operators in the bivariate setting. The authors started the Introduction by defining some operators and their mixed hybrid operators, The rate of convergence of such operators in terms of modulus of continuity is estimated. Also, some results using Lipschitz-maximal, Peetre's K-functional are established in global approximation, along with results on weighted spaces for bounded intervals. Furthermore, some results on approximation behaviour in Bogel functional space are provided. Finally, some graphical representation is given for the function of two variables.