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

Dubey, Yadvendra

Softcover

ISBN 10: 3848403730 ISBN 13: 9783848403738

Publisher: LAP LAMBERT Academic Publishing, 2012

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.

About this title

About the Author

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’.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3848403730
• ISBN 13: 9783848403738
• Binding: Paperback
• Number of pages: 116