E-Book, Englisch, Band 262, 366 Seiten, eBook
Agarwal / Wong Error Inequalities in Polynomial Interpolation and Their Applications
Erscheinungsjahr 2012
ISBN: 978-94-011-2026-5
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 262, 366 Seiten, eBook
Reihe: Mathematics and Its Applications
ISBN: 978-94-011-2026-5
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1 Lidstone Interpolation.- 1.1 Introduction.- 1.2 Lidstone Polynomials.- 1.3 Interpolating Polynomial Representations.- 1.4 Error Representations.- 1.5 Error Estimates.- 1.6 Lidstone Boundary Value Problems.- References.- 2 Hermite Interpolation.- 2.1 Introduction.- 2.2 Interpolating Polynomial Representations.- 2.3 Error Representations.- 2.4 Error Estimates.- 2.5 Some Applications.- References.- 3 Abel 7#x2014; Gontscharoff Interpolation.- 3.1 Introduction.- 3.2 Interpolating Polynomial Representations.- 3.3 Error Representations.- 3.4 Error Estimates.- 3.5 Some Applications.- References.- 4 Miscellaneous Interpolation.- 4.1 Introduction.- 4.2 (n, p) and (p, n) Interpolation.- 4.3 (0, 0; m, n — m) Interpolation.- 4.4 (0; m, n — m) Interpolation.- 4.5 (0, 2, 0; m, n — m) Interpolation.- 4.6 (0 : l — 1, l : l + j — 1; m, n — m) Interpolation.- 4.7 (0; Lidstone) Interpolation.- 4.8 (0, 2, 0; Lidstone) Interpolation.- 4.9 (1, 3, 0, 1; Lidstone) Interpolation.- 4.10 (0 : l — 1, l : l + j — 1; Lidstone) Interpolation.- 4.11 (0, 2, 1; Lidstone) Interpolation.- References.- 5 Piecewise — Polynomial Interpolation.- 5.1 Introduction.- 5.2 Preliminaries.- 5.3 Piecewise Hermite Interpolation.- 5.4 Piecewise Lidstone Interpolation.- 5.5 Two Variable Piecewise Hermite Interpolation.- 5.6 Two Variable Piecewise Lidstone Interpolation.- References.- 6 Spline Interpolation.- 6.1 Introduction.- 6.2 Preliminaries.- 6.3 Cubic Spline Interpolation.- 6.4 Quintic Spline Interpolation: ? = 4.- 6.5 Approximated Quintic Splines: ? = 4.- 6.6 Quintic Spline Interpolation: ? = 3.- 6.7 Approximated Quintic Splines: ? = 3.- 6.8 Cubic Lidstone — Spline Interpolation.- 6.9 Quintic Lidstone — Spline Interpolation.- 6.10 L2 — Error Bounds for Spline Interpolation.- 6.11 TwoVariable Spline Interpolation.- 6.12 Two Variable Lidstone — Spline Interpolation.- 6.13 Some Applications.- References.- Name Index.
