Best constants in preservation of global smoothness for Szász – Mirakyan operators ✩

About some linear operators defined by infinite sums

In this paper we study a general class of linear operators defined by infinite sum. In particular, we obtain the convergence and the evaluation for the rate of convergence in therm of the first modulus of smoothness for the Mirakjan-Favard-Szász, Meyer-König and Zeller operators.

Pointwise Estimate for Linear Combinations of Phillips Operators

For pointwise approximation of bounded continuous functions by linear combinations of Phillips operators we represent equivalent relation by means of Ditzian-Totik modulus of smoothness. The rate of approximation is better compared with similar estimates, proved in the past for other Szász-type operators. Mathematics subject classification (2010): 41A10, 41A25, 41A36.

On a Hybrid Family of Summation Integral Type Operators

The present paper deals with the study of the mixed summation integral type operators having Szász and Baskakov basis functions in summation and integration respectively. Here we obtain the rate of point wise convergence, a Voronovskaja type asymptotic formula, an error estimate in simultaneous approximation. We also study some local direct results in terms of modulus of smoothness and modulus ...

Simultaneous approximation for Bézier variant of Szász–Mirakyan–Durrmeyer operators

We study the rate of convergence in simultaneous approximation for the Bézier variant of Szász– Mirakyan–Durrmeyer operators by using the decomposition technique of functions of bounded variation. © 2006 Elsevier Inc. All rights reserved.

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators