On refinement equations determined by Po´lya frequency sequences
SIAM Journal on Mathematical Analysis
Nonstationary subdivision schemes and multiresolution analysis
SIAM Journal on Mathematical Analysis
Multiresolution analyses originated from nonstationary subdivision schemes
Journal of Computational and Applied Mathematics
Stationary and nonstationary affine combination of subdivision masks
Mathematics and Computers in Simulation
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In this paper a new class of nonstationary subdivision schemes is proposed to construct functions having all the main properties of B-splines, namely compact support, central symmetry and total positivity. We show that the constructed nonstationary subdivision schemes are asympotically equivalent to the stationary subdivision scheme associated with a B-spline of suitable degree, but the resulting limit function has smaller support than the B-spline although keeping its regularity.