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Abstract: A new interpolation technique called the Weighted Average Interpolation (WAI) is discus... more Abstract: A new interpolation technique called the Weighted Average Interpolation (WAI) is discussed. A new concept named the effect is explained, for both even and odd number of points, along with associated correction factors. The procedure of deriving the formula is discussed in detail, under different cases. These ideas are also extended to extrapolation of data. The relation between the WAI and Lagrange’s interpolation formula is analyzed. Further, the advantages and disadvantages of the WAI with reference to the Lagrange’s formula are examined. Numerical examples are worked out for clarity.
Abstract: A new interpolation technique called the Weighted Average Interpolation (WAI) is discus... more Abstract: A new interpolation technique called the Weighted Average Interpolation (WAI) is discussed. A new concept named the effect is explained, for both even and odd number of points, along with associated correction factors. The procedure of deriving the formula is discussed in detail, under different cases. These ideas are also extended to extrapolation of data. The relation between the WAI and Lagrange’s interpolation formula is analyzed. Further, the advantages and disadvantages of the WAI with reference to the Lagrange’s formula are examined. Numerical examples are worked out for clarity.