Blending-type approximation by Lupas-Durrmeyer-type operators involving Polya distribution

摘要

In the present work, we construct a new sequence of positive linear operatorsinvolving Polya distribution. We compute a Voronovskaja type and a Gruss-Voronovskaja type asymptotic formula as well as the rate of approximation by using the modulus of smoothness and for functions in a Lipschitz type space. Lastly, we provide some numerical results, which explain the validity of the theoretical results and the effectiveness of the constructed operators.