TY  - JOUR
T1  - Approximation by Modified Bivariate Bernstein-Durrmeyer and GBS Bivariate Bernstein-Durrmeyer Operators on a Triangular Region
AU  - Çiçek, Harun
AU  - İzgi, Aydın
PY  - 2022
DA  - June
Y2  - 2022
DO  - 10.33401/fujma.1009058
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 135
EP  - 144
VL  - 5
IS  - 2
LA  - en
AB  - 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.
KW  - Approximation properties
KW  - GBS operators
KW  - Modulus of continuity
KW  - Voronovskaja and Gr\"{u}ss Voronovskaja theorem
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UR  - https://doi.org/10.33401/fujma.1009058
L1  - https://dergipark.org.tr/en/download/article-file/2024547
ER  -