# differential operator

(redirected from Derivative operator)
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Related to Derivative operator: Integral operator, Linear differential operator

## differential operator

[‚dif·ə′ren·chəl ′äp·ə‚rād·ər]
(mathematics)
An operator on a space of functions which maps a function ƒ into a linear combination of higher-order derivatives of ƒ.
References in periodicals archive ?
Since the fractional derivative operator satisfies the semi-group properties (9); the solution to the equation
Afterwards, Nottale defines a set of complex quantities which are generalization of well known classical quantities (Lagrange action, velocity, momentum, etc), in order to be coherent with the introduction of the complex-time derivative operator.
Let us remark that the central problem is to define a generalization of the derivative operator (known from the real analysis) for functions defined on time scales.
the covariant derivative operator with respect to [MATHEMATICAL EXPRESSION NOT ASCII.
VERMIGLIO, Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions, Appl.
of La Laguna, Spain) explore that branch of calculus that deals with the study of so-called fractional order integral and derivative operators over real or complex domains and their applications.
If the interpolation will be carried out on three points (square parabola), that the second derivative operators in all nine points will be identical.
Initially, we started with a 8-bit grayscale image of size 256 X 256 and the input image is processed using the different gradient first and second derivative operators like Sobel, Robert, Prewitt and Laplacian to find edge map [5, 7, 23, 24].
The technique, we will exploit, is based on the use of negative derivative operators (1), on their algebraic manipulation and on the properties of multi-index Bessel functions (2).

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