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##### Cited by 11 publications
(3 citation statements)
##### References 22 publications
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“…Proposition 1 For L = 3 equation ( 11) is verified by direct calculation using the example (7) and definitions…”
Section: Corollarymentioning
confidence: 90%
See 1 more Smart Citation
“…Proposition 1 For L = 3 equation ( 11) is verified by direct calculation using the example (7) and definitions…”
Section: Corollarymentioning
confidence: 90%
“…Indeed, from the speed of approximation of smooth functions [5, p. 52, 156] these two types of wavelets are equivalent, and orthogonality to polynomials provides a locally maximal "likeness" to a better rootmean-square approach. At the same time in statistical applications, orthogonality for polynomials of high degree is not required at all [6], in contrast, for example, to the problem of numerical differentiation [7].…”
Section: Introductionmentioning
confidence: 99%
“…Spline wavelet or multiwavelet bases where duals are not local are also known. 6,13,15,14,16 The advantage of our construction in comparison with biorthogonal cubic spline wavelets with local duals 2,3,12,18 is that the support of the wavelets is shorter, condition numbers of the corresponding stiffness matrices are smaller and also a simple construction.…”
Section: Dčerná and V Finěkmentioning
confidence: 99%