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Symbolic method for polynomial interpolation with Stieltjes conditions

Publication Type : Conference Paper

Publisher : International Conference on Frontiers in Mathematics

Source : International Conference on Frontiers in Mathematics (2015), 225--228

Url : https://www.researchgate.net/publication/294883724_Symbolic_method_for_polynomial_interpolation_with_Stieltjes_conditions

Campus : Amaravati

School : School of Physical Sciences

Department : Mathematics

Year : 2015

Abstract : This paper presents a new symbolic algorithm for polynomial interpolation with a given set of independent Stieltjes conditions at arbitrary points over integro-differential algebras. For expressing Stieltjes conditions in present algorithm, we employ the algebra of integro-differential operators. The error due to the approximation of a function by polynomial interpolation is also discussed. Implementation of the proposed algorithm in Maple is described and provided sample computations. This algorithm will help to implement the manual calculations in commercial packages.

Cite this Research Publication : S. Thota, S. D. Kumar: Symbolic method for polynomial interpolation with Stieltjes conditions, International Conference on Frontiers in Mathematics (2015), 225--228.

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