On Polynomial interpolation approximations: Numerical vs. statistical techniques

Rohitha Goonatilake, V. O. Ruiz
2013 Journal of Modern Methods in Numerical Mathematics  
Polynomial interpolation approximation has a considerably important role in the study of functions because the derivatives and indefinite integrals of polynomials can be easily determined. Also the polynomials are often used for approximating continuous functions. This presentation will derive polynomial interpolation approximations for a given set of discrete data using divided differences, Hermite interpolation, cubic spline interpolation, etc. which will be compared with polynomials obtained
more » ... from statistical techniques based on least-square criterion in regression analysis. Analysis of errors is calculated to determine the better approximations among them. and received a top 10% winning award.
doi:10.20454/jmmnm.2014.679 fatcat:spkq6rmiondn3nektght2rro5a