Results 211 to 220 of about 1,728,945 (251)

Divided Differences and Combinatorial Identities

Studies in Applied Mathematics, 1991
We present an algebraic theory of divided differences which includes confluent differences, interpolation formulas, Liebniz's rule, the chain rule, and Lagrange inversion. Our approach uses only basic linear algebra. We also show that the general results about divided differences yield interesting combinatorial identities when we consider some suitable
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Root finding by divided differences

Numerische Mathematik, 1981
A recursive method is presented for computing a simple zero of an analytic functionf from information contained in a table of divided differences of its reciprocalh=1/f. A good deal of flexibility is permitted in the choice of ordinate and derivative values, and in the choice of the number of previous points upon which to base the next estimate of the ...
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The Divided Central Differences of Zero

Canadian Journal of Mathematics, 1963
PutIn a recent paper (4), Lohne showed ...
Carlitz, Leonard, Riordan, John
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Interpolation and divided differences

2002
Abstract The problem that we consider in this chapter is the following: let f be a function which we assume to be continuous on the interval [a, b] and let xO, xl,... , xn be n + 1 pairwise distinct points given in the interval [a, b].
Michelle Schatzman, John Taylor
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ON AN INEQUALITY FOR DIVIDED DIFFERENCES

Asian-European Journal of Mathematics, 2008
The main purpose of this paper is to give the generalization and improvement of the result given in [2] on the inequality of the difference of two integral means which can also be represented as the difference of two divided differences.
Pečarić, Josip, Rodić, Mirna
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The iterated divided difference filter

2008 IEEE International Conference on Automation and Logistics, 2008
With an application to target tracking, the iterated divided difference filter is presented. In new algorithm, an iterated measurement update was proposed to improve the approximation accuracy of the nonlinear state estimation. When iterating, the current mean and the covariance of the divided difference filter (DDF) were used to measurement update ...
null Yong Shi, null Chongzhao Han, null Feng Lian   +2 more
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Blossoming and Divided Difference

2001
Blossoming and divided difference are shown to be characterized by a similar set of axioms. But the divided difference obeys a cancellation postulate which is not included in the standard blossoming axioms. Here the blossom is extended to incorporate a new set of parameters along with a cancellation axiom.
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Divided differences and generalized Taylor series

Forum Mathematicum, 2008
Summary: By combining divided differences with symmetric function relations, we establish two expansion formulae which generalize the classical Taylor theorem and the Maclauren expansion formula. The two \(q\)-expansion formulae due to Carlitz and Liu are also contained as special cases.
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The divided difference particle filter

2007 10th International Conference on Information Fusion, 2007
Based on the concept of sequential importance sampling (SIS) and the use of Bayesian theory, particle filter is particularly useful in dealing with nonlinear and non-Gaussian problems. In this paper, a new particle filter is proposed that uses a divided difference filter to generate the importance proposal distribution is proposed.
null Yong Shi, null Chongzhao Han
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Divided Differences Calculus in Matrix Representation

International Journal of Applied and Computational Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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