A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modul...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/867203 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain
convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |