Author: Jeffrey M. Lemm
Publisher: North Holland
Keywords: interpolation, volume, mathematical, library, holland, north, functors, spaces
Number of Pages: 718
Published: 1991-04-01
List price: $247.00
ISBN-10: 0444880011
ISBN-13: 9780444880017

The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach space

Author: J. F. Steffensen
Publisher: Dover Publications
Keywords: second, interpolation
Number of Pages: 256
Published: 2006-03-17
List price: $14.95
ISBN-10: 0486450090
ISBN-13: 9780486450094

In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation includes such topics as displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition.

Author: Philip J. Davi
Publisher: Dover Publicatio
Keywords: approximation, interpolation
Number of Pages: 393
Published: 1975-06-01
List price: unknow
ISBN-10: 0486624951
ISBN-13: 9780486624952

Authors:J. Szabados, P. Vertesi,
Publisher: World Scientific Pub Co Inc
Keywords: functions, interpolation
Number of Pages: 400
Published: 1990-12
List price: $82.00
ISBN-10: 9971509156
ISBN-13: 9789971509156

Author: George M. Phillips
Publisher: Springer
Keywords: polynomials, approximation, interpolation
Number of Pages: 328
Published: 2003-04-08
List price: $99.00
ISBN-10: 0387002154
ISBN-13: 9780387002156

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel

Author: Ying Guang-Shi
Publisher: Nova Science Publishers
Keywords: interpolation, birkhoff, theory
Number of Pages: 252
Published: 2003-04
List price: $59.00
ISBN-10: 1590336925
ISBN-13: 9781590336922

Interpolation by polynomials is a very old subject. The first systematic work was due to Newton in the seventeenth century. Lagrange developed his formula only a little later. In 1878 Hermie introduced so called Hermite interpolation. In 1906 Birkhoff published the first paper on lacunary (or Birkhoff) interpolation whose information about a function and its derivatives is irregular. It turns out that the Birkhoff interpolation problem is very difficult. The reasons are: the solvability of the problem is equivalent to non-singularity of the coefficient matrix of higher order, which of course i

Author: Helmuth Spath
Publisher: AK Peters, Ltd.
Keywords: algorithms, interpolation, spline, dimensional
Number of Pages: 304
Published: 1995-06
List price: $89.00
ISBN-10: 1568810172
ISBN-13: 9781568810171

Presents a practical introduction to computing two dimensional spline functions and takes the elementary and directly applicable approach of using explicit and easily evaluated forms of the spline interpolants. DLC: Spline theory - Data processing.