The present paper is a study of L p − approximation by a new type of Bernstein-Durrmeyer type operators. It turns out the order of approximation by these operators is at best O(n −1), however smooth the function may be. In order to speed up the rate of convergence by the operators P n , we apply the technique of iterative combinations given by Micchelli … (More)
This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.
In this paper we obtain the estimates of the central moments for the recently defined q-analogue of Baskakaov-beta operators. We obtain the evaluation for the rate of convergence in term of the first modulus of smoothness and Voronovskaja-type theorem for these operators. Uniform approximation by q-analogue of Baskakov-beta type operators, in communication.… (More)