Finite Difference and Ratio Operations: Representation of Numerical Data on a Pair of Variables by a Polynomial Curve

The recently introduced approach to interpolation which consists of the representation of numerical data by a suitable polynomial curve and then to compute the value of the dependent variable from the curve corresponding to any given value of the independent variable leads to the necessity of a method/formula for representing a given set of numerical data on a pair of variables by a suitable polynomial curve. One method, in addition to the existing methods, has been developed for representing a set of numerical data on a pair of variables by a suitable polynomial curve. The method developed here, which is simpler than the earlier ones, is based on two numerical operations namely finite difference operation and ratio operation. This paper describes the development of the method with numerical example in order to show the application of the method to numerical data.