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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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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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Divided Differences and Linearly Recursive Sequences

Studies in Applied Mathematics, 1995
We 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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Nanofluidics for osmotic energy conversion

Nature Reviews Materials, 2021
, Liping Wen, Lei Jiang
exaly  

Transforming heat transfer with thermal metamaterials and devices

Nature Reviews Materials, 2021
Ying Li, Wei Li, Tiancheng Han
exaly  

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