• COMPUTERIZABLE STATISTICALLY-ORIENTED REDUCED-BIAS-SANDWICH REDUCED-MMRMSE ALGORITHMICALLY IMPROVED INTERPOLATION USING NEWTON’S FORWARD DIFFERENCE FORMULA

Abstract

This paper aims at proposing a sandwich-iterative computerizable numerical algorithm for an improved ‘Interpolation Using Newton’s Forward Difference Formula’. Without any loss of generality we might assume that the ‘Interpolation-Interval’ is C [0, 1]. The algorithm uses the ‘statistical perspectives’ for exploiting the information about the unknown function ‘f’, available in terms of its known values at the ‘equidistant-knots in C [0, 1]’, rather more fully. The improvement, achieved by an a-posteriori use of this information, gets to be happening iteratively. Any typical iteration uses the ‘Twin Statistical Perspectives’ of ‘Relative Mean Square Error (RMSE)’, & ‘Bias’; the former concept being sandwiched by the latter. The potential of the achievable improvements through the proposed ‘computerizable numerical iterative algorithm’ is tried to be brought out/ illustrated per an ‘empirical study’ for which the function ‘f’ is assumed to be known in the sense of simulation.