The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012). We establish the moments of the operator and a Voronvskaja type asymptotic theorem and then proceed to studying the convergence of the operators with...

The present paper deals with the approximation properties for exponential functions of general Durrmeyer type operators having weights Sz?sz basis functions. Here we give explicit expressions moments by means which establish, derivatives operators, Voronovskaja formulas growth and corresponding weighted quantitative estimates remainder in simultaneous approximation.

There are presented two methods for approximation of generalized Urysohn type operators. The first them is the natural generalization method considered by Demkiv in [1]. convergence results given quantitative form, using certain moduli continuity. In final part there a few exemplifications discrete and integral operators and, particular, Bernstein Durrmeyer

<p style='text-indent:20px;'>In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate for continuous and Voronovskaja's asymptotic estimate are obtained.</p>