forward difference

forward difference

[¦fȯr·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 forward difference operator to these values; used in interpolation or numerical calculation and integration of functions.
References in periodicals archive ?
The discrete-time analogue of the Lie derivative of a function ([phi](x) is its difference, which can be defined in two different ways, either as the forward difference
The discrete-time analogue of a Lie derivative of a 1-form is, according to [12], its forward difference
omega]] f(t) = f (t + [omega]) - f(t) / [omega] is the forward difference operator with stepsize [omega] [32], and [D.
The second important problem which cannot be obtained from the calculus of time scales, concerns the forward difference operator
where [DELTA] is the forward difference operator defined by [[DELTA][mu].
j] + 1/ J + 1 The sequence {ej} is the product of two totally monotone sequences, so it is totally monotone, and all of the forward differences are nonnegative and bounded.
The non-linear first order differential equations under study are replaced by finite forward difference equations.
It can be easily seen that the polynomial enclosed in the first square brackets fits the curve y(x) satisfying the given data, which is the Newton's forward difference interpolation formula.
In this section, we give a theorem which provides some estimates on these type of the inequality (2) about the forward difference operator.
Cuadratic Function Forward Difference M1 M2 M3 error 0.
It is really pathetic to forward differences of opinion from dialogue to court," said ANHRI.