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Starting from any two compactly supported refinable functions in L2(R)
with dilation factor d,we show that it is always… Expand We assessed the model of knowledge strategy and IT support proposed by Hansen, Nohria and Tierney. Their main argument is that… Expand Starting from any two compactly supported d-refinable function vectors in (L2(R))r with multiplicity r and dilation factor d, we… Expand In this paper we shall study vector cascade algorithms and refinable function vectors with a general isotropic dilation matrix in… Expand Smoothness and symmetry are two important properties of a refinable function. It is known that the Sobolev smoothness exponent of… Expand Abstract It is well known that in applied and computational mathematics, cardinal B-splines play an important role in geometric… Expand Refinable functions play a main role in the construction of wavelets; here we present a large class of refinable functions which… Expand We apply the general theory of approximation orders of shift-invariant spaces of [C. de Boor, R. A. DeVore, and A. Ron, Trans… Expand Abstract This survey article is concerned with two basic approximation concepts and their interrelation with the numerical… Expand This paper proposes a new mathematical model to describe the distribution of the occurrence of errors in data transmission on… Expand