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Let a,b,c,d ∊R be given such that a

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 considerations regarding the constructed operators based on MATLAB algorithms. [ABSTRACT FROM AUTHOR]

The goal of this paper is to introduce new q-Stancu-Kantorovich operators and to study some of their approximation properties. A convergence theorem using the well known Bohman- Korovkin criterion is proven and the rate of convergence involving the modulus of continuity is established. Furthermore, a Voronovskaja type theorem is also proven. [ABSTRACT FROM AUTHOR]

The paper is devoted to defining a new general class of linear and positive operators depending on a certain function φ. This new class of linear and positive operators generalizes the Szász-Mirakjan operators. For this new class of operators we establish a convergence theorem and the evaluation of the rate of convergence, in terms of the modulus of continuity. [ABSTRACT FROM AUTHOR]