Name
Abstract | ||
|---|---|---|
In this research paper using the Chebyshev expansion, we explicitly determine the best uniform polynomial approximation out of P"q"n (the space of polynomials of degree at most qn) to a class of rational functions of the form 1/(T"q(a)+/-T"q(x)) on [-1,1], where T"q(x) is the first kind of Chebyshev polynomial of degree q and a^21. In this way we give some new theorems about the best approximation of this class of rational functions. Furthermore we obtain the alternating set of this class of functions. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2009.07.016 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
uniform polynomial approximation,uniform norm,research paper,alternating set,chebyshev polynomials,best uniform polynomial approximation,chebyshev expansion,new theorem,chebyshev polynomial,best polynomial approximation,best approximation,degree q,rational function | Chebyshev nodes,Chebyshev polynomials,Discrete mathematics,Elliptic rational functions,Mathematical optimization,Mathematical analysis,Degree of a polynomial,Approximation theory,Equioscillation theorem,Reciprocal polynomial,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 1 | Computers and Mathematics with Applications |
Citations | PageRank | References |
4 | 0.99 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mehdi Dehghan | 1 | 3022 | 324.48 |
| M. R. Eslahchi | 2 | 88 | 13.65 |