کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1140534 | 956730 | 2011 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Computing quasi-interpolants from the B-form of B-splines Computing quasi-interpolants from the B-form of B-splines](/preview/png/1140534.png)
In general, for a sufficiently regular function, an expression for the quasi-interpolation error associated with discrete, differential and integral quasi-interpolants can be derived involving a term measuring how well the non-reproduced monomials are approximated. That term depends on some expressions of the coefficients defining the quasi-interpolant, and its minimization has been proposed. However, the resulting problem is rather complex and often requires some computational effort. Thus, for quasi-interpolants defined from a piecewise polynomial function, φ, we propose a simpler minimization problem, based on the Bernstein–Bézier representation of some related piecewise polynomial functions, leading to a new class of quasi-interpolants.
Journal: Mathematics and Computers in Simulation - Volume 81, Issue 10, June 2011, Pages 1936–1948