Error Inequalities in Polynomial Interpolation and Their Applications

By: R.P. Agarwal, Patricia J.Y. Wong

Write A Review

Hardcover

At a Glance

Hardcover
380 Pages

Dimensions(cm)
23.39 x 15.6 x 2.24

Hardcover

$197.38

or 4 interest-free payments of $49.34 with

Aims to ship in 7 to 10 business days

This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel--Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone--spline interpolating problems. Explicit representations of the interpolating polynomials and associated error functions are given, as well as explicit error inequalities in various norms. Numerical illustrations are provided of the importance and sharpness of the various results obtained. Also demonstrated are the significance of these results in the theory of ordinary differential equations such as maximum principles, boundary value problems, oscillation theory, disconjugacy and disfocality. For mathematicians, numerical analysts, computer scientists and engineers.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Algebra Mathematical Foundation Differential Calculus & Equations Applied Mathematics

Preface
Lidstone Interpolation
Lidstone Polynomials	p. 2
Interpolating Polynomial Representations	p. 17
Error Representations	p. 17
Error Estimates	p. 19
Lidstone Boundary Value Problems	p. 21
Hermite Interpolation
Interpolating Polynomial Representations	p. 63
Error Representations	p. 71
Error Estimates	p. 91
Some Applications	p. 149
Abel - Gontscharoff Interpolation
Interpolating Polynomial Representations	p. 173
Error Representations	p. 175
Error Estimates	p. 178
Miscellaneous Interpolation
(n,p) and (p,n) Interpolation	p. 192
(0, 0; m,n - m) Interpolation	p. 198
(0; m,n - m) Interpolation	p. 203
(0, 2, 0; m, n - m) Interpolation	p. 206
(0 : l - 1, l : l + j - 1; m, n - m) Interpolation	p. 208
(0; Lidstone) Interpolation	p. 209
(0, 2, 0; Lidstone) Interpolation	p. 210
(1, 3, 0, 1; Lidstone) Interpolation	p. 211
(0 : l - 1, l : l + j - 1; Lidstone) Interpolation	p. 213
(0, 2, 1; Lidstone) Interpolation	p. 214
Piecewise - Polynomial Interpolation
Piecewise Hermite Interpolation	p. 228
Piecewise Lidstone Interpolation	p. 257
Two Variable Piecewise Hermite Interpolation	p. 266
Two Variable Piecewise Lidstone Interpolation	p. 274
Spline Interpolation
Cubic Spline Interpolation	p. 285
Quintic Spline Interpolation : [tau] = 4	p. 290
Approximated Quintic Splines : [tau] = 4	p. 301
Quintic Spline Interpolation : [tau] = 3	p. 309
Approximated Quintic Splines : [tau] = 3	p. 315
Cubic Lidstone - Spline Interpolation	p. 321
Quintic Lidstone - Spline Interpolation	p. 323
L[subscript 2] - Error Bounds for Spline Interpolation	p. 327
Two Variable Spline Interpolation	p. 334
Two Variable Lidstone - Spline Interpolation	p. 346
Name Index	p. 363
Table of Contents provided by Blackwell. All Rights Reserved.

Error Inequalities in Polynomial Interpolation and Their Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Calculus & Mathematical Analysis

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

Complex Analysis and Special Functions

The Maths Book

Big Ideas Simply Explained

Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics

3rd Edition - Pearson New International Edition

Calculus with Applications

11th Global Edition

Fundamentals of General, Organic and Biological Chemistry in SI Units

8th Edition

Schaum's Outline of Calculus

7th edition

Calculus

3rd Edition

Make: Calculus

Build models to learn, visualize, and explore

A Common-Sense Guide to Data Structures and Algorithms, 2e

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

Concise Complex Analysis (Revised Edition)

Introduction to Theoretical and Computational Fluid Dynamics

Religion and Reform in Galveston, 1880-1920

Fundamentals of Differential Equations, Global Edition

9th Edition

Mathematics for Business: 7th Edition

Calculus For Dummies

For Dummies

Intermediate Financial Theory

3rd Edition

Systems Analysis and Design, Global Edition

10th edition

Student Solutions Manual to accompany Calculus

10th Edition - Several Variables (Chapters 13 - 19)

Partial Differential Equations

2nd Edition - An Introduction, Student Solutions Manual

Physics for Scientists and Engineers

Foundations and Connections, Extended Version with Modern Physics

Single Variable Calculus 4ed

Concepts and Contexts, Enhanced Edition

Permutation Tests for Complex Data

Theory, Applications and Software

Fractional Differential Equations

Numerical Methods for Applications

This product is categorised by