A best constant for bivariate Bernstein and Szász-Mirakyan operators

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

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

We obtain the best possible constants in preservation inequalities concerning the usual first modulus of continuity for the classical Szász–Mirakyan operator. The probabilistic representation of this operator in terms of the standard Poisson process is used. © 2007 Elsevier Inc. All rights reserved.

The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators

In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators. Also, we estimate the approximation order in terms of Peetre's K-functional and partial moduli of continuity. Furthermore, we introduce the associated GBS-case (Generalized Boolean Sum) of t...

On Convergence Properties of Szasz-Mirakyan-Bernstein Operators of two Variables

In this study, we have constructed a sequence of new positive linear operators with two variable by using Szasz-Mirakyan and Bernstein Operators, and investigated its approximation properties.

Generalized Baskakov-Szász type operators

Keywords: Baskakov-Szász operators Modulus of continuity Asymptotic formula Simultaneous approximation Statistical convergence Bounded variation a b s t r a c t In the present paper, we introduce generalized Baskakov-Szász type operators and study some approximation properties of these operators e.g., rate of convergence in ordinary and simultaneous approximation, statistical convergence and th...