| Dewey Class |
511.4 |
| Titolo |
Error Inequalities in Polynomial Interpolation and Their Applications ([EBook] /) / by Ravi P. Agarwal, Patricia J. Y. Wong. |
| Autore |
Agarwal, Ravi P. |
| Added Personal Name |
Wong, Patricia J. Y. author. |
| Other name(s) |
SpringerLink (Online service) |
| Pubblicazione |
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1993. |
| Physical Details |
X, 366 p. : online resource. |
| Serie |
Mathematics and its applications ; 262 |
| ISBN |
9789401120265 |
| Contents note |
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 Two Variable Spline Interpolation -- 6.12 Two Variable Lidstone — Spline Interpolation -- 6.13 Some Applications -- References -- Name Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-94-011-2026-5 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Applications of Mathematics .
Applied mathematics .
Approximation theory .
Approximations and Expansions .
Computational Mathematics and Numerical Analysis .
Computer mathematics .
Differential Equations .
Engineering mathematics .
Mathematics .
Ordinary differential equations .
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