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(generally, a value from the middle of the table is selected), and h is the difference between any two consecutive x. Is the selected value from the given x which is closer to Is the point where we have to determine f(x), x Now, the Gauss Forward Formula for obtaining f(x) or y at Then, each of the next column values is computed by calculating the difference between its preceding and succeeding values in the previous column, like This table is prepared with the help of x and its corresponding f(x) or y.
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Stirling Approximation involves the use of forward difference table, which can be prepared from the given set of x and f(x) or y as given below – Both the Gauss Forward and Backward formula are formulas for obtaining the value of the function near the middle of the tabulated set. Stirling Formula is obtained by taking the average or mean of the Gauss Forward and Gauss Backward Formula. Stirling Approximation or Stirling Interpolation Formula is an interpolation technique, which is used to obtain the value of a function at an intermediate point within the range of a discrete set of known data points.
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