Iteration of positive approximation operators

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...

Approximation Properties of a Sequence of Linear and Positive Operators

Abstract: In this paper we study the techniques of linear combinations starting from the studies made by H. Bohman (1952), P.L.Butzer (1953; [2]), ( P.P. Korovkin (1953); [11]), T. Popovici (1959; [13]), D.D. Stancu ([15]) respectively the results obtained by E. W. Cheney and A. Sharma [3], S. Eisenberg and B. Wood [16], M. Frenţiu [5], A. Lupaş [9], [10], R. Martini [12]. We define the linear ...

Statistical approximation for new positive linear operators of Lagrange type

In this paper, we prove some approximation results in statistical sense and establish some direct theorems for the positive linear operators constructed by the means Lagrange type polynomials. We compute error estimation by using modulus of continuity with the help of Matlab and give its algorithm. Furthermore, we show graphically the convergence of our operators to various functions. AMS Subje...

On the order of weighted approximation by positive linear operators

An estimation of approximation of continuous functions by positive linear operators in weighted norm using the weighted modulus of continuity is established. Application of the main result to the known Gadjiyev∗ -Ibragimov operators is given.

Iteration and Function Approximation