backward difference operator

backward difference operator

[¦bak·wərd ¦dif·rəns ′äp·ə‚rād·ər]
(mathematics)
A difference operator, denoted ∇, defined by the equation ∇ƒ(x) = ƒ(x) - ƒ(x-h), where h is a constant denoting the difference between successive points of interpolation or calculation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
To establish the corresponding relation, let us first recall the definition of the backward difference operator [nabla].
(The factor [(-1).sup.n] is due to our representation of the cardinal B-spline via backward difference operators.)
In [10], Wong established the following discrete Opial type inequality about the backward difference operator:
New Opial type finite difference inequalities *
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.
Orthogonal polynomials and recurrence equations, operator equations and factorization

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