Interpolation & Approximation by Spline Function: Best Error Bound of Spline Interpolation - Softcover

Dubey, Yadvendra

Softcover

ISBN 10: 3848403730 ISBN 13: 9783848403738

Verlag: LAP LAMBERT Academic Publishing, 2012

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 3848403730
• ISBN 13: 9783848403738
• Einband: Taschenbuch
• Anzahl der Seiten: 116
• Kontakt zum Hersteller: SIA OmniScriptum Publishing; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland