Weighted Approximation by Szász-Mirakjan 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...

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

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...

Uniform weighted approximation by positive linear operators

We characterize the functions defined on a weighted space, which are uniformly approximated by a sequence of positive linear operators and we obtain the range of the weights which can be used for uniform approximation. We, also, obtain an estimation of the remainder in terms of the usual modulus of continuity. We give particular results for the Szász-Mirakjan and Baskakov operators. Mathematics...

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...