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Error Inequalities in Polynomial Interpolation and Their Applications
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Catalogue Information
Field name
Details
Dewey Class
511.4
Title
Error Inequalities in Polynomial Interpolation and Their Applications ([EBook] /) / by Ravi P. Agarwal, Patricia J. Y. Wong.
Author
Agarwal, Ravi P.
Added Personal Name
Wong, Patricia J. Y.
author.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1993.
Physical Details
X, 366 p. : online resource.
Series
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
Links to Related Works
Subject References:
Applications of Mathematics
.
Applied mathematics
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Approximation theory
.
Approximations and Expansions
.
Computational Mathematics and Numerical Analysis
.
Computer mathematics
.
Differential Equations
.
Engineering mathematics
.
Mathematics
.
Ordinary differential equations
.
Authors:
Agarwal, Ravi P.
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Wong, Patricia J. Y.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications
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Classification:
511.4
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