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>> Newton’s second interpolation formula
Interpolation of functions  Newton’s second interpolation formula
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 ifand 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.
