Results 11 to 20 of about 7,993,545 (283)
Finitely defined functionals and divided differences [PDF]
Journal of Numerical Analysis and Approximation Theory, 2004 We give a necessary and sufficient condition for representing finitely defined functionals in terms of divided differences. As particular cases we obtain formulas of Tiberiu Popoviciu, Newton, etc.
Mircea Ivan
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On the Leibniz formula for divided differences [PDF]
Journal of Numerical Analysis and Approximation Theory, 2006 We give an identity for the Hermite-Lagrange interpolating polynomial and a short proof of Leibniz-type formula for divided differences in case of coalescing knots.
Mircea Ivan
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Polynomials, Divided Differences, and Codes
CoRRMultivariate multiplicity codes (Kopparty, Saraf, and Yekhanin, J. ACM 2014) are linear codes where the codewords are described by evaluations of multivariate polynomials (with a degree bound) and their derivatives up to a fixed order, on a suitably chosen affine point set.
Venkitesh, S.
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The Cauchy double alternant and divided differences
The Electronic Journal of Linear Algebra, 2006 Dedicated to my friend Pier Vittorio Ceccherini on the occasion of his 65th birthday Abstract. As an extension of Cauchy's double alternant, a general determinant evaluation formula is established. Several interesting determinant identities are derived as consequences by means of divided differences.
Chu, Wenchang
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On the divided differences of the remainder in polynomial interpolation [PDF]
Journal of Approximation Theory, 2004 In this paper the authors present a number of formulas for the divided differences of the remainder of the interpolation polynomial that include some recent formulas as special cases, see for example, \textit{C. de Boor} [J. Approximation Theory 122, No. 1, 10--12 (2003; Zbl 1022.65024)].
Xinghua Wang 0001 +2 more
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The effect of divided attention on false memory depends on how memory is tested. [PDF]
, 2007 In three experiments, we investigated the effects of divided attention on false memory, using the Deese/Roediger-McDermott (DRM) paradigm. In Experiments 1 and 2, participants studied six DRM lists with full attention and six in one of two divided ...
Holmes, Selina J. +4 more
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Divided and A-Divided Differences on Time Scales
, 2023 In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using
Erhan,I.M. +3 more
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Computational Divided Differencing and Divided-Difference Arithmetics [PDF]
, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas W. Reps, Louis B. Rall
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ON DIVIDED-DIFFERENCE SEMIGROUPS [PDF]
International Journal of Algebra and Computation, 2011 The Newtonian divided-difference operators generate the nil-Coxeter algebra and semigroup. A bijective correspondence between the nil-Coxeter semigroup and the symmetric group is used to provide braid-like diagrams for the former, and corresponding Reidemeister-type moves for the relations.
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On one generalization of Wronskian
Lietuvos Matematikos Rinkinys, 2007 In this article the properties of the specially introduced determinant, elements of which are the divided differences in different orders are studied.
Eduardas Kirjackis
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