Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter $\lambda$

Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators

Approximation properties of Beta-Szasz-Stancu operators

The application of q-calculus in operator theory is an active area of research in the last two decades. Several new q-operators were introduced and their approximation behavior was discussed. In the present paper, we study the Stancu type generalization of Beta-Szasz type operators for their q-analogues. We obtain moments and convergence results in terms of higher order modulus of continuity. A...

Approximation degree of Durrmeyer–Bézier type operators

Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means...

On a generalization of Szasz-Durrmeyer operators with some orthogonal polynomials

In this paper, we construct a form of linear positive operators with Brenke type polynomials as a generalization of Szasz-Durrmeyer operators. We obtain convergence properties of our operators with the help of the universal Korovkin-type property and calculate the order of approximation by using classical modulus of continuity. Explicit examples of our operators involving some orthonogal and d-...

Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators

In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.