caa a22 4500 46793911X CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7628-x doi (NATIONALLICENCE)springer-10.1007/s10444-004-7628-x De Villiers Johan Department of Mathematics, University of Stellenbosch, Private Bag X1, 7602, Matieland, South Africa aut On refinable functions and subdivision with positive masks [Elektronische Daten] [Johan De Villiers] We consider aspects of the analysis of refinement equations with positive mask coefficients. First we derive, explicitly in terms of the mask, estimates for the geometric convergence rate of both the cascade algorithm and the corresponding subdivision scheme, as well as the Hölder continuity exponent of the resulting refinable function. Moreover, we show that the subdivision scheme converges for a class of unbounded initial sequences. Finally, we present a regularity result containing sufficient conditions on the mask for the refinable function to possess continuous derivatives up to a given order. Springer, 2006 refinable functions nationallicence subdivision nationallicence wavelets nationallicence cascade algorithm nationallicence Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 281-295 1019-7168 24:1-4<281 2006 24 10444 https://doi.org/10.1007/s10444-004-7628-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7628-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- De Villiers Johan Department of Mathematics, University of Stellenbosch, Private Bag X1, 7602, Matieland, South Africa aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 281-295 1019-7168 24:1-4<281 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer