# divided differences

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## divided differences

[də′vīd·əd ′dif·rən·səs]
(mathematics)
Quantities which are used in the interpolation or numerical calculation or integration of a function when the function is known at a series of points which are not equally spaced, and which are formed by various operations on the difference between the values of the function at successive points.
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In this paper, a novel design point approach in generalized random space (DPG method) associated with the method of divided difference is proposed and applied to analyze the probability of gravity dam foundation instability over multiple sliding planes.
Hence, if a partial derivative of g(X) is calculated by divided difference mathematically, the value of the derivative at any design point [x.
n] corresponds a divided difference [[partial derivative].
The Schubert classes classes are constructed by divided difference operators
alpha]] is convex for [alpha] [less than or equal to] 1/3, hence its divided difference [t.
2] in it domain the first divided difference is defined by
Comparing "old" and "new" divided difference operators for z = n c N, yields
The condition in Theorem 3 is equivalent to non-negativity of the second divided difference [[[y.
jk]] be a divided difference (DD) of order k - 1 of a function f constructed by the points [[lambda].
integral operators, divided difference operators, the continuous q-Hermite polynomials, generating functions, Poisson kernel, bilinear generating functions, q-harmonic oscillators
Among those are the endpoint interpolation property, the shape-preserving properties in the case 0 < q < 1, and the representation via divided differences.

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