difference operator


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difference operator

[′dif·rəns ‚äp·ə‚rād·ər]
(mathematics)
One of several operators, such as the displacement operator, forward difference operator, or central mean operator, which can be used to conveniently express formulas for interpolation or numerical calculation or integration of functions and can be manipulated as algebraic quantities.
References in periodicals archive ?
However, it is important to note that the discrete-time model in the time scale formalism is given in terms of the difference operator, and not in terms of the more conventional shift operator as, for example, in [1-3,13].
3) generalizes the divided difference operator for G/B to what we call the highest root Hessenberg variety.
omega]] f(t) = f (t + [omega]) - f(t) / [omega] is the forward difference operator with stepsize [omega] [32], and [D.
To establish the corresponding relation, let us first recall the definition of the backward difference operator [nabla].
0]), and [DELTA] denotes the forward difference operator, that is, [DELTA]x(n) = x(n +1) - x(n) for a sequence x(n).
for central difference, where L denotes the difference operator generating the corresponding scheme and (*, *)O,h denotes the discrete [L.
where [delta] is the difference operator, (Y/POP) is gross domestic product per capita, POP is total population, and [epsilon] and [micro] are zero-mean, serially uncorrelated random error terms.
The main concept of the time scale calculus is the so-called delta-derivative that is a generalization of both the time-derivative (in the continuous-time case) and the difference operator (in the discrete-time case) [5].
Applying twice the basic difference operator to [f.
By linear algebra, one can prove that a certain multiple of the difference operator [R.
In this section, we give a theorem which provides some estimates on these type of the inequality (2) about the forward difference operator.