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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.615
V. Semenov,1 J. Prestin2

INVESTIGATING THE WAVELET ORTHOGONALITY CONDITIONS BASED
ON JACOBI POLYNOMIALS

Abstract. The authors analyze the properties of wavelets based on Jacobi polynomials. In particular, orthogonality conditions for these wavelets are considered, as well as minimization of the Riesz ratio. These problems lead to the solution of systems of nonlinear equations by the method proposed earlier by the authors.

Keywords: wavelets, Jacobi polynomials, orthogonality conditions, rootfinding.



FULL TEXT

1 DELTA SPE Scientific and Production Enterprise, Kyiv, Ukraine,
e-mail: vasyl.delta@gmail.com.

2 Institute of Mathematics of the University of Lubeck, Lubeck, Germany,
e-mail: prestin@math.uni-luebeck.de.

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