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http://hdl.handle.net/123456789/1052| Title: | Bézier-summation-integral-type operators that include Pólya–Eggenberger distribution |
| Authors: | Mohiuddine, Sayed Abdul Kajla, Arun Alotaibi, Abdullah |
| Keywords: | Stancu operators; Pólya–Eggenberger distribution; Bézier curves; rate of convergence |
| Issue Date: | 2022 |
| Publisher: | Mathematics |
| Abstract: | We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we study a direct theorem as well as a quantitative Voronovskaja-type theorem for our newly constructed operators. Moreover, we investigate the approximation of functions with derivatives of bounded variation (DBV) of the aforesaid operators. |
| URI: | http://hdl.handle.net/123456789/1052 |
| Appears in Collections: | School of Basic Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Bézier-Summation-Integral-Type Operators That Include.pdf | 302.65 kB | Adobe PDF | View/Open |
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