Recommended by Vijay Gupta We obtain an estimate on the rate of convergence of Durrmeyer-Bézier operaters for functions of bounded variation by means of some probabilistic methods and inequality techniques. Our estimate improves the result of Zeng and Chen 2000. In 2000, Zeng and Chen 1 introduced the Durrmeyer-Bézier operators D n,α which are defined as follows: D n,α f, x n 1 n k0 Q α nk x 1 ...

In this paper we will demonstrate a Voronovskajatype theorems and approximation theorems for GBS operators associated to some linear positive operators. Through particular cases, we obtain statements verified by the GBS operators of Bernstein, Schurer, Durrmeyer, Kantorovich, Stancu, BleimannButzer-Hahn, Mirakjan-Favard-Szász, Baskakov, Meyer-König and Zeller, Ismail-May.

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 article, we consider Jain-Durrmeyer operators associated with the Apostol-Genocchi polynomials and study approximation properties of these Durrmeyer operators. Furthermore, examine behaviour including K-functional. We estimate rate convergence proposed for function in Lipschitz-type space local results by using modulus continuity. Employing Mathematica software, to show absolute error g...

We constructed a summation–integral type operator based on the latest research in linear positive operators area. establish some approximation properties for this new operator. highlight qualitative part of presented operator; we studied uniform convergence, Voronovskaja-type theorem, and Grüss–Voronovskaja result. Our subsequent study focuses direct theorem using Ditzian–Totik modulus smoothne...

In the present paper a Korovkin-type theorem is proposed for the approximation operators defined by the inverse Ftransforms. These results allow us to choose between a variety of shapes to be used as atoms of the fuzzy partitions used within the F-transform’s framework. In this way we can enlarge considerably the class of F-transforms proposed recently by I. Perfilieva. The new fuzzy partitions...

In the present paper we introduce the GBS (Generalized Boolean Sum) operators of Durrmeyer type based on q -integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is evaluated. The study contains in the last section numerical c...