Hermite-Fejer interpolation エルミィート・フェイェール補間
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Bibliographic Information
- Title
-
Hermite-Fejer interpolation
- Other Title
-
エルミィート・フェイェール補間
- Author
-
酒井, 良二
- Author(Another name)
-
サカイ, リョウジ
- University
-
金沢大学
- Types of degree
-
理学博士
- Grant ID
-
乙第1205号
- Degree year
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1992-03-25
Note and Description
博士論文
Table of Contents
- Contents (3コマ目)
- 1. Introduction/p1 (4コマ目)
- 1.1. Notation/p1 (4コマ目)
- 1.2. Jacobi Polynomial/p2 (5コマ目)
- 1.3. Constructions of Lagrange, and Hermite-Fejér Interpolating Polynomials/p4 (7コマ目)
- 1.4. Introductory Remarks/p12 (15コマ目)
- 1.5. List of Symbols/p15 (18コマ目)
- 1.6. Acknowledgement/p17 (20コマ目)
- 2. Degree of Approximation/p18 (21コマ目)
- 2.1. Theorems/p18 (21コマ目)
- 2.2. Proof of Theorems/p21 (24コマ目)
- 2.3. Remarks/p33 (36コマ目)
- 3. Unboundedness of HFI Operators(I)/p35 (38コマ目)
- 3.1. Theorems/p35 (38コマ目)
- 3.2. Proof of Theorem/p38 (41コマ目)
- 4. Unboundedness of HFI Operators(II)/p47 (50コマ目)
- 4.1. Theorems/p47 (50コマ目)
- 4.2. Proof of Theorems/p51 (54コマ目)
- 5. Modified Operators/p63 (66コマ目)
- 5.1. Theorems/p63 (66コマ目)
- 5.2. Proof of Theorems/p67 (70コマ目)
- 6. Degree of Approximation of Differentiable Functions by HFI Operators/p79 (82コマ目)
- 6.1. Theorems/p79 (82コマ目)
- 6.2. Proof of Theorem/p81 (84コマ目)
- References/p83 (86コマ目)