backward difference

backward difference

[¦bak·wərd ′dif·rəns]
(mathematics)
One of a series of quantities obtained from a function whose values are known at a series of equally spaced points by repeatedly applying the backward difference operator to these values; used in interpolation and numerical calculation and integration of functions.
References in periodicals archive ?
Another possibility is to define it as the backward difference
Actually, in the discrete-time domain the single concept branches into two concepts, backward and forward Lie derivatives, depending on whether one applies in its definition the forward or backward difference (see formulae (9) and (10)).
where [DELTA] f (x) = f (x + 1) - f (x) and [nabla] (x) = f (x) - f (x - 1) denote the forward and backward difference operators, respectively.
In [10], Wong established the following discrete Opial type inequality about the backward difference operator:

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