Articles liés à Discrete Quartic and Quintic Spline Interpolation:...

Discrete Quartic and Quintic Spline Interpolation: Polynomial Spline Interpolation - Couverture souple

Dubey, Yadvendra

 
9783848485437: Discrete Quartic and Quintic Spline Interpolation: Polynomial Spline Interpolation

Synopsis

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 choiceof these degree of freedom in spline functions makes them quite flexible. The spline functions have played very significant role in the development of the theory ofapproximation and Numerical Analysis. Beside being sufficient and smooth approximation, such functions have nice mathematical properties such as (i) the space of spline functions of a given order has a very convenient base, (ii) similar to polynomials, derivatives and anti-derivative of spline functions are easily obtained in finitely many steps, (iii)splines have sign change property, zero property etc.

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Présentation de l'éditeur

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 choiceof these degree of freedom in spline functions makes them quite flexible. The spline functions have played very significant role in the development of the theory ofapproximation and Numerical Analysis. Beside being sufficient and smooth approximation, such functions have nice mathematical properties such as (i) the space of spline functions of a given order has a very convenient base, (ii) similar to polynomials, derivatives and anti-derivative of spline functions are easily obtained in finitely many steps, (iii)splines have sign change property, zero property etc.

Biographie de l'auteur

M.Sc.M.Phil. Ph.D Birth Paten Jabalpur M.P.India. H.O.D. department of mathematics Laxmi Narian College of technology Bhedaghat Chouk Jabalpur M.P.He has having 15 years teaching experience of U.G. and P.G.level and 20 research paper publication in international journal.

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