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

Dubey, Yadvendra

 
9783848403738: Interpolation & Approximation by Spline Function: Best Error Bound of Spline Interpolation
Tapa blanda
ISBN 10: 3848403730 ISBN 13: 9783848403738
Editorial: LAP LAMBERT Academic Publishing, 2012

Sinopsis

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.

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Reseña del editor

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.

Biografía del autor

Dr. Yadvendra Prasad Dubey (Birth:Paten,Jabalpur M.P.(India) 1969),M.Sc.M.Phil.Ph.D. HOD, Mathematics Deptt. LNCT Jabalpur (M.P.).He has having more than 15 years teaching experience and 20 research paper publication in international journal. He specializes ‘Spline theory in numerical analysis’.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3848403730
ISBN 13 
9783848403738
Encuadernación
Tapa blanda
Número de páginas
116
Contacto del fabricante
no disponible
Persona responsable
no disponible