Results 211 to 220 of about 1,768,757 (251)

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 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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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.
Yong Shi 0011, Chongzhao Han
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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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Interlacing zeros and divided differences

Russian Mathematical Surveys, 2004
The communication under review deals with the construction of sequences which alternate or preserve its sign. Two theorems generalize well known facts as that stated for polynomials with real simple zeros for which the signs of the critical values alternate. Let \(H=\{h_1,\dots ,h_n\} \) be a complete Chebyshev system on the interval \(I\), and let \(X=
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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 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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Multivariate Divided Differences with Simple Knots

SIAM Journal on Numerical Analysis, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Leibniz Formula for Multivariate Divided Differences

SIAM Journal on Numerical Analysis, 2003
In this paper, the algebraic background of the Leibniz formula is explored, showing the formula to be equivalent to the Opitz formula [\textit{G. Opitz}, Z. Angew. Math. Mech. 44, Sonderheft, T52--T54 (1964; Zbl 0196.48801)] that gives the divided difference table of any polynomial as the result of applying that polynomial to a certain matrix. This, in
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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, Sablik, Maciej, Sklar, Abe   +2 more
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