DISCRETE TRANSFORMS AND ORTHOGONAL POLYNOMIALS OF (ANTI) SYMMETRIC MULTIVARIATE COSINE FUNCTIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00226563" target="_blank" >RIV/68407700:21340/14:00226563 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/140964916" target="_blank" >http://dx.doi.org/10.1137/140964916</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/140964916" target="_blank" >10.1137/140964916</a>

Result language
angličtina
Original language name
DISCRETE TRANSFORMS AND ORTHOGONAL POLYNOMIALS OF (ANTI) SYMMETRIC MULTIVARIATE COSINE FUNCTIONS
Original language description
The discrete cosine transforms of types V - VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the antisymmetric and symmetric generalizations of cosine functions are introduced. Each family forms an orthogonal basis of the space of all polynomials with respect to some weighted integral. Cubature formulas, which correspond to these families of polynomials andwhich stem from the developed discrete cosine transforms, are derived. Examples of three-dimensional interpolation formulas and three-dimensional explicit forms of the polynomials are presented.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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