Interpolation & Approximation by Spline Function | Best Error Bound of Spline Interpolation

Yadvendra Dubey

ISBN 10: 3848403730 / ISBN 13: 9783848403738

Edité par LAP Lambert Academic Publishing, 2012

Interpolation & Approximation by Spline Function | Best Error Bound of Spline Interpolation | Yadvendra Dubey | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2012 | LAP Lambert Academic Publishing | EAN 9783848403738 | Verantwortliche Person für die EU: OmniScriptum GmbH & Co. KG, Bahnhofstr. 28, 66111 Saarbrücken, info[at]akademikerverlag[dot]de | Anbieter: preigu. N° de réf. du vendeur 106602390

Synopsis :

Starting with the pioneering work of Schoenberg [1], the theory of spline functions and its applications have received much international importance and reorganization in recent years. We very often come across the interpretations of phenomenon in scientific studies which are generally described by functions. Often such functions do not have nice mathematical properties like differentiability, integrability etc. The absence of these useful mathematical properties makes it very difficult to handle with these functions which are so crucial for the study. Thus, in the direction of studies of these functions we replace these functions by an approximating functions having nice mathematical properties. Spline functions are essentially piecewise polynomial functions which meet certain smoothness requirement. The different pieces of spline functions of a certain order provide much greater degree of freedoms in comparison to polynomial functions of the same order. The choice of these degree of freedom in spline functions makes them quite flexible.

Présentation de l'éditeur: Starting with the pioneering work of Schoenberg [1], the theory of spline functions and its applications have received much international importance and reorganization in recent years. We very often come across the interpretations of phenomenon in scientific studies which are generally described by functions. Often such functions do not have nice mathematical properties like differentiability, integrability etc. The absence of these useful mathematical properties makes it very difficult to handle with these functions which are so crucial for the study. Thus, in the direction of studies of these functions we replace these functions by an approximating functions having nice mathematical properties. Spline functions are essentially piecewise polynomial functions which meet certain smoothness requirement. The different pieces of spline functions of a certain order provide much greater degree of freedoms in comparison to polynomial functions of the same order. The choice of these degree of freedom in spline functions makes them quite flexible.

Détails bibliographiques

Titre : Interpolation & Approximation by Spline ...
Éditeur : LAP Lambert Academic Publishing
Date d'édition : 2012
Reliure : Taschenbuch
Etat : Neu