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Divided differences and generalized Taylor series
Forum Mathematicum, 2008Summary: 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, 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.
null Yong Shi, null Chongzhao Han
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Divided Differences Calculus in Matrix Representation
International Journal of Applied and Computational Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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Divided Differences and Linearly Recursive Sequences
Studies in Applied Mathematics, 1995We show that the theory of divided differences is a natural tool for the study of linearly recurrent sequences. The divided differences functional associated with a monic polynomial w on degree n + 1 yields a vector space isomorphism between the space of polynomials of degree at most equal to n and the space of linearly recurrent sequences f that ...
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An adaptive divided-difference perturbation method for solving stochastic problems
Structural Safety, 2023Feng Wu
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Divided Differences and Polynomial Approximation
2019In this chapter, as warmup for rational approximation, we discuss polynomial approximation. Since rational approximation has f = P∕Q ⇔ Qf = P, finding P and Q can be viewed as a kind of polynomial approximation.
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Meromorphic Functions of Finite ϕ-order and Linear Askey—Wilson Divided Difference Equations
Acta Mathematica Sinica, English Series, 2022Hui Yu, Janne Heittokangas, Jun Wang
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Robust state estimation using desensitized Divided Difference Filter
ISA Transactions, 2013Haijun Shen
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