Calculus of linear extensions and Newton interpolation
Combinatorics
2009-12-01 v1 Numerical Analysis
Abstract
We use Newton divided differences for calculation of Greene sums -- the rational functions determined by linear extensions of partially ordered sets. Identities for Greene sums generate relations for Newton divided differences and Arnold differential forms. Also generalizations of the Newton interpolation series which are indexed by sequences of partially ordered sets are received.
Keywords
Cite
@article{arxiv.0911.5620,
title = {Calculus of linear extensions and Newton interpolation},
author = {Gennadiy Ilyuta},
journal= {arXiv preprint arXiv:0911.5620},
year = {2009}
}
Comments
in Russian