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Multivariate Divided Differences with Simple Knots
SIAM Journal on Numerical Analysis, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christophe Rabut
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ON AN INEQUALITY FOR DIVIDED DIFFERENCES
Asian-European Journal of Mathematics, 2008The 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 differential mean value of divided differences [PDF]
The paper deals with the asymptotic behaviour of the differential mean value of divided differences as the interval shrinks to zero by presenting an asymptotic expansion. The coefficients are given by a recurrence formula.
Dumitru Mircea Ivan, Ulrich Abel
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The Divided Central Differences of Zero
Canadian Journal of Mathematics, 1963PutIn a recent paper (4), Lohne showed ...
Carlitz, Leonard, Riordan, John
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The divided difference particle filter
2007 10th International Conference on Information Fusion, 2007Based 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.
Yong Shi 0011, Chongzhao Han
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Blossoming and Divided Difference
2001Blossoming 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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Polynomials and divided differences
Publicationes Mathematicae Debrecen, 2005\textit{J. Aczél} showed in 1963 [see Math. Mag. 58, 42--45 (1985; Zbl 0571.39005)] that there is a simple functional equation involving two unknown functions, say \(f\) and \(g\), whose general solution (no regularity conditions whatever) is: \(f\) is a polynomial of degree at most 2 and \(g\) is the derivative of \(f\).
Riedel, Thomas +2 more
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