Lagrange’s Interpolation Formula:
Representation of Numerical Data by a
Polynomial curve

Biswajit Das; Dhritikesh Chakrabarty

doi:https://doi.org/10.14445/22315373/IJMTT-V34P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 2 | Year 2016 | Article Id. IJMTT-V34P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P514

Lagrange’s Interpolation Formula: Representation of Numerical Data by a Polynomial curve

Biswajit Das, Dhritikesh Chakrabarty

Abstract

The interpolation by an idea/method which consists of the representation of numerical data by a suitable polynomial and then to compute the value of the dependent variable from the polynomial corresponding to any given value of the independent variable leads to the necessity of a formula for representing a given set of numerical data on a pair of variables by a suitable polynomial. One such formula has been developed in this study. The formula has been derived from Lagrange’s interpolation formula. The formula obtained has been applied to represent the numerical data, on the total population of India since 1971, by a suitable polynomial.

Keywords

Interpolation, Lagrange’s formula, polynomial curve, representation of numerical data.

References

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Citation :

Biswajit Das, Dhritikesh Chakrabarty, "Lagrange’s Interpolation Formula: Representation of Numerical Data by a Polynomial curve," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 2, pp. 64-72, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P514