On Szász-Mirakyan-Jain Operators preserving exponential functions

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

Modified double Szász - Mirakjan operators preserving x

In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve f0 (x, y) = 1 and f3 (x, y) = x 2 + y. We prove that this type of operators enables a better error estimation on the interval [0,∞) × [0,∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential propertie...

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.

On Modified Szasz–mirakyan Operators

We consider certain modifications of Szasz-Mirakyan operators Sn in exponential weighted spaces Cq of continuous functions and operators Tn in L p spaces of Lebesgue integrable functions. We give theorems on approximation properties of these operators. AMS Mathematics Subject Classification (2000): 41A36

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...