Newton’s second interpolation formula Newton’s first interpolation formula is practically inconvenient for interpolation of functions near to end of the table. In this case usually Newton’s second interpolation formula is applied: (4) The detailed conclusion of the formula (4) is resulted in [1]. Let's note, that if and х it is close to it is meaningful to apply Newton’s first interpolation formula, if and х it is close to , in this case is more convenient for using Newton’s second interpolation formula. In other words, Newton’s first interpolation formula is used usually for interpolation forward , and Newton’s second interpolation formula – for interpolation back . |
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