Name
Title | ||
|---|---|---|
A new approach to improve the order of approximation of the Bernstein operators: theory and applications. |
Abstract | ||
|---|---|---|
This paper presents a new approach to improve the order of approximation of the Bernstein operators. Three new operators of the Bernstein-type with the degree of approximations one, two, and three are obtained. Also, some theoretical results concerning the rate of convergence of the new operators are proved. Finally, some applications of the obtained operators such as approximation of functions and some new quadrature rules are introduced and the theoretical results are verified numerically. |
Year | DOI | Venue |
|---|---|---|
2018 | https://doi.org/10.1007/s11075-017-0307-z | Numerical Algorithms |
Keywords | Field | DocType |
Linear positive operator,The Bernstein operators,Bernstein Theorem,Korovkin Theorem,Voronovkaja Theorem,Rate of convergence,Degree of convergence,41A10,42A20,65D30 | Fourier integral operator,Mathematical optimization,Baskakov operator,Mathematical analysis,Constant coefficients,Operator norm,Bernstein polynomial,Operator (computer programming),Operator theory,Mathematics,Spectral theorem | Journal |
Volume | Issue | ISSN |
77 | 1 | 1017-1398 |
Citations | PageRank | References |
2 | 0.51 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hassan Khosravian-Arab | 1 | 11 | 1.36 |
| Mehdi Dehghan | 2 | 3022 | 324.48 |
| M. R. Eslahchi | 3 | 88 | 13.65 |