Approximation by Durrmeyer-Bezier operators. (English) Zbl 1154.41305
Summary: We consider the Bezier variant \(M_{n,\alpha} (f,x)\) of the generalized Durrmeyer type operators, and obtain an estimate on the rate of convergence of \(M_{n,\alpha} (f,x)\) for the decomposition technique of functions of bounded variation. In the end we propose an open problem for the readers and give an asymptotic formula for these generalized Durrmeyer type operators.
MSC:
| 41A25 | Rate of convergence, degree of approximation |
| 41A30 | Approximation by other special function classes |
Keywords:
summation-integral type operators; modulus of smoothness; rate of approximation; bounded variation; total variationReferences:
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