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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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Calculating the divided differences of the exponential function by addition and removal of inputs
Computer Physics Communications, 2020Lev Barash, Itay Hen, Lalit Gupta
exaly
The mean value theorem of Flett and divided differences
Journal of Mathematical Analysis and Applications, 2004Dumitru Mircea Ivan +2 more
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The convergence ball of the Secant method under Hölder continuous divided differences
Journal of Computational and Applied Mathematics, 2006Ren Hongmin
exaly
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
Computing (Vienna/New York), 2007Marco Caliari
exaly
Multivariate Pareto portfolios: TCE-based capital allocation and divided differences
Scandinavian Actuarial Journal, 2007Zinoviy Landsman
exaly
On Functions with Nonvanishing Divided Differences
Mathematische Nachrichten, 1976openaire +1 more source
A recurrence relation for generalized divided differences with respect to ECT-systems
Numerical Algorithms, 1999G Mühlbach
exaly
Divided differences, hyperbolic equations, and lifting distributions
Constructive Approximation, 1987Charles A Micchelli
exaly