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http://hdl.handle.net/123456789/955| Title: | Generalized Bernstein–Durrmeyer operators of blending type |
| Authors: | Kajla, Arun |
| Keywords: | Approximation; Bernstein-Kantorovich type operators; convergence. |
| Issue Date: | 2019 |
| Publisher: | Afrika Matematika |
| Abstract: | In this note, we derive some approximation properties of the generalized Bernstein-Kantorovich-type operators based on two nonnegative parameters consid- ered by A. Kajla [Appl. Math. Comput. 2018]. We establish a Voronovskaja-type asymptotic theorem for these operators. The rate of convergence for differential func- tions whose derivatives are of bounded variation is also derived. Finally, we show the convergence of the operators to certain functions by illustrative graphics using Mathe- matica software. |
| URI: | http://hdl.handle.net/123456789/955 |
| Appears in Collections: | School of Basic Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF.pdf | 245.76 kB | Adobe PDF | View/Open |
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