@article{article_1009058, title={Approximation by Modified Bivariate Bernstein-Durrmeyer and GBS Bivariate Bernstein-Durrmeyer Operators on a Triangular Region}, journal={Fundamental Journal of Mathematics and Applications}, volume={5}, pages={135–144}, year={2022}, DOI={10.33401/fujma.1009058}, author={Çiçek, Harun and İzgi, Aydın}, keywords={Approximation properties, GBS operators, Modulus of continuity, Voronovskaja and Gr\"{u}ss Voronovskaja theorem}, abstract={<div style="text-align:justify;">In this paper, the approximation properties and the rate of convergence of modified bivariate Bernstein-Durrmeyer Operators on a triangular region are examined. Furthermore, definitions and some properties of modulus of continuity for functions of two variables are given. Voronovskaya and Gr\"{u}ss Voronovskaja type theorems are used to determine the order of approximation. The GBS (Generalized Boolean Sum) operator of Bivariate Bernstein-Durrmeyer type on a triangular region is studied. Lastly, some numerical examples are given and related graphs are plotted for comparison. <br /> </div>}, number={2}, publisher={Fuat USTA}