Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00326393" target="_blank" >RIV/68407700:21340/18:00326393 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3390/e20120938" target="_blank" >http://dx.doi.org/10.3390/e20120938</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e20120938" target="_blank" >10.3390/e20120938</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions

Popis výsledku v původním jazyce

Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated. The four generated classes of the corresponding orthogonal polynomials generalize the formation of the Chebyshev polynomials of the second and fourth kinds. Continuous orthogonality relations of the polynomials together with the inherent weight functions are deduced. Sixteen cubature rules, including the four Gaussian, are produced by the related discrete transforms. For the three-dimensional case, interpolation tests, unitary transform matrices and recursive algorithms for calculation of the polynomials are presented.

Název v anglickém jazyce

Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions

Popis výsledku anglicky

Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated. The four generated classes of the corresponding orthogonal polynomials generalize the formation of the Chebyshev polynomials of the second and fourth kinds. Continuous orthogonality relations of the polynomials together with the inherent weight functions are deduced. Sixteen cubature rules, including the four Gaussian, are produced by the related discrete transforms. For the three-dimensional case, interpolation tests, unitary transform matrices and recursive algorithms for calculation of the polynomials are presented.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Entropy

ISSN

1099-4300

e-ISSN

1099-4300

Svazek periodika

20

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

25

Strana od-do

—

Kód UT WoS článku

000454282000046

EID výsledku v databázi Scopus

2-s2.0-85058936780