Name
Abstract | ||
|---|---|---|
In this paper, we propose an algebraic method based on solving some inequalities of polynomial type to control the error value of interpolation formulas whose residue depends on a monic polynomial. This method then leads to construct some piecewise approximations (splines) of statistical type, which are based on a specific partition of the main interval. In other words, in this model of spline, approximate criteria are considered fixed and sub-intervals corresponding to criteria are derived as accurately as possible. In this sense, some statistical concepts such as expected value, variance measure, skewness and kurtosis coefficients are also inserted into the definition of statistical splines. Finally, a numerical results section is separately given to confirm all results in the paper. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.mcm.2008.11.012 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
algebraic method,function interpolation,numerical results section,monic polynomial,expected value,piecewise approximations or splines,polynomial type,statistical type,expected value and variance of a statistical spline,error value in function interpolation,lagrange and hermite interpolations,approximate criterion,statistical spline model,partition,error value,polynomial type inequalities,statistical spline,statistical concept,error control process,error control,hermite interpolation | Spline (mathematics),Mathematical optimization,Box spline,Spline interpolation,Polynomial,Interpolation,Monic polynomial,Hermite interpolation,Mathematics,Piecewise | Journal |
Volume | Issue | ISSN |
49 | 7-8 | Mathematical and Computer Modelling |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Masjed-Jamei | 1 | 15 | 8.03 |