Geodesic
Positive operators based on scaling functions
Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 116-126

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In this paper we consider linear operators of Bernstein–Schoenberg type, constructed on B-bases, generated from a finite system of integer shifts of a scaling function (or refinable function), belonging to a large class of totally positive scaling functions introduced in [9]. These operators where introduced in [12], where their $L^2$ approximation properties were discussed. Here we examine their spectral properties and best least square approximations. 
@article{MM_2002_14_5_a11,
     author = {L. Gori and F. Pitolli and E. Santi},
     title = {Positive operators based on scaling functions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {116--126},
     publisher = {mathdoc},
     volume = {14},
     number = {5},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_5_a11/}
}
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L. Gori; F. Pitolli; E. Santi. Positive operators based on scaling functions. Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 116-126. http://geodesic.mathdoc.fr/item/MM_2002_14_5_a11/