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2 Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2 Šimsová J.

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Properties of Fourier coefficients of spline wavelets

Šimsová J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2007

Vol. 12

101-106

Periodic B-spline functions have got many useful properties. Especially it is the property of its Fourier coefficients. In this article it is introduced and proved a similar property of Fourier coefficients of spline wavelets.

The Comparison of Semi-Orthogonal Wavelet and Orthonormal Wavelet Sets for Solving Fredholm's Integral Equation of the Second Kind

Šimsová J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2003

Vol. 9

87--95

The article tries to resolve Fredholm 's integral equations of the second kind by the Galerkin method. The wavelets on the bounded interval are used as the basic functions. Daubechies' orthonomal wavelets and the semi-orthogonal wavelets are used for solving Fredholm's integral equations of the second kind. The twofold results are evaluated in the function of the matrix-sparsity and the error of the approximation.