High degree polynomial interpolation Newton form
SIAM Journal on Scientific and Statistical Computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Fast algorithms for polynomial interpolation, integration, and differentiation
SIAM Journal on Numerical Analysis
Numerical analysis: an introduction
Numerical analysis: an introduction
On constructing new expansions of functions using linear operators
Journal of Computational and Applied Mathematics
Error control process in function interpolation using statistical spline model
Mathematical and Computer Modelling: An International Journal
Explicit forms of weighted quadrature rules with geometric nodes
Mathematical and Computer Modelling: An International Journal
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
Let T,U be two linear operators mapped onto the function f such that U(T(f))=f but T(U(f))f. In this paper, interpolating the functions of type T(U(f)) is presented in a general case. As a special case, the linear operators T(f)=@!"@l^xf(t)dt and U(f)=df(x)/dx are considered to interpolate the family of incomplete special functions. Three new examples of interpolation formulas together with their analytic error are also given as the special samples of the mentioned operator method. Finally, by using the foresaid method, a basic class of operator type quadrature rules is defined and its properties are investigated.