2012 Fiscal Year Final Research Report
On Convergence of Sequences of Interpolating Polynomials
| Project/Area Number |
22540162
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Kwansei Gakuin University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
JIMICHI Masayuki 関西学院大学, 商学部, 教授 (60243200)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Keywords | 多項式補間 |
|---|
| Research Abstract |
We have studied relations between approximated continuous functions f and places of nodes of interpolating polynomials for f. We have two main results. One is that functions which can be approximated by any sequence of interpolating polynomials obtained by increasing nodes are analytic. The other is that spline functions g with one knot are expressed as the limit of a sequence of Hermite interpolating polynomials for some two nodes.
|
Research Products
(6 results)
