|
|
|
|
| LEADER |
01229nam a2200205Ia 4500 |
| 001 |
10.3390-math10132222 |
| 008 |
220718s2022 CNT 000 0 und d |
| 020 |
|
|
|a 22277390 (ISSN)
|
| 245 |
1 |
0 |
|a Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution
|
| 260 |
|
0 |
|b MDPI
|c 2022
|
| 856 |
|
|
|z View Fulltext in Publisher
|u https://doi.org/10.3390/math10132222
|
| 520 |
3 |
|
|a 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
|
| 650 |
0 |
4 |
|a Bézier curves
|
| 650 |
0 |
4 |
|a Pólya–Eggenberger distribution
|
| 650 |
0 |
4 |
|a rate of convergence
|
| 650 |
0 |
4 |
|a Stancu operators
|
| 700 |
1 |
|
|a Alotaibi, A.
|e author
|
| 700 |
1 |
|
|a Kajla, A.
|e author
|
| 700 |
1 |
|
|a Mohiuddine, S.A.
|e author
|
| 773 |
|
|
|t Mathematics
|
