论文信息 - A Baskakov type generalization of statistical Korovkin theory - 字舞流文

A Baskakov type generalization of statistical Korovkin theory

In this paper using the notion of A-statistical convergence, where A is a nonnegative regular summability matrix, we obtain some statistical variants of Baskakov's results on the Korovkin type approximation theorems.

George A. Anastassiou | Oktay Duman

[1] H. I. Miller,et al. A measure theoretical subsequence characterization of statistical convergence , 1995 .

[2] Allen R. Freedman,et al. Densities and summability. , 1981 .

[3] John R. Rice,et al. Linear Operators and Approximation , 1974 .

[4] A. D. Gadjiev,et al. Some approximation theorems via statistical convergence , 2002 .

[5] H. Fast,et al. Sur la convergence statistique , 1951 .

[6] Oktay Duman,et al. Statistical approximation by positive linear operators , 2004 .

[7] H. R. Pitt. Divergent Series , 1951, Nature.

[8] J. A. Fridy,et al. ON STATISTICAL CONVERGENCE , 1985 .

[9] Gy. Nagy. Generalization of certain theorems of G. Szegö on the location of zeros of polynomials , 1947 .

[10] Enno Kolk,et al. Matrix Summability of Statistically Convergent Sequences , 1993 .

[11] Oktay Duman,et al. A KOROVKIN TYPE APPROXIMATION THEOREM IN STATISTICAL SENSE , 2006 .