On Convergence of Sequences of Interpolating Polynomials
| Project/Area Number |
22540162
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kwansei Gakuin University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
JIMICHI Masayuki 関西学院大学, 商学部, 教授 (60243200)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 多項式補間 / テイラー展開 / 補間多項式 / エルミート補間 / エルミート補間多項式 / 標本点 / 無限チェビシェフ系 / 絶対値補間 |
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| 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.
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Report
(4 results)
Research Products
(11 results)
