Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00302321" target="_blank" >RIV/68407700:21340/16:00302321 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3390/sym8070063" target="_blank" >http://dx.doi.org/10.3390/sym8070063</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym8070063" target="_blank" >10.3390/sym8070063</a>

Result language
angličtina
Original language name
Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions
Original language description
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating a weighted integral of any function by a weighted finite sum of function values, in connection with any simple Lie group. The cubature formulas are specialized for simple Lie groups of rank two. An optimal approximation of any function by multivariate polynomials arising from symmetric orbit functions is discussed.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)