Abstract
In this paper, we have construct a new version of the Bézier-type Baskakov–Schurer–Szász–Stancu operators. For this new class of operators, uniform convergence is shown in any compact subset or positive real line. We prove Korovkin-type theorem, Voronovskaya-type theorem, and Grüss–Voronovskaya-type theorem. Moreover, at the end, we express the behavior of the operators in the Lipschitz-type space using the modulus of continuity and smoothness.
| Original language | American English |
|---|---|
| Pages (from-to) | 2419-2433 |
| Number of pages | 15 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 47 |
| Issue number | 4 |
| DOIs | |
| State | Published - 15 Mar 2024 |
Keywords
- Bézier form of the Baskakov–Schurer–Szász–Stancu operators
- Grüss–Voronovskaya-type theorem
- Korovkin-type theorem
- Voronovskaya-type theorem
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Engineering