Probabilistic spherical Marcinkiewicz–Zygmund inequalities
نویسندگان
چکیده
منابع مشابه
Probabilistic spherical Marcinkiewicz-Zygmund inequalities
Recently, norm equivalences between spherical polynomials and their sample values at scattered sites have been proved. These so-called MarcinkiewiczZygmund inequalities involve a parameter that characterizes the density of the sampling set and they are applicable to all polynomials whose degree does not exceed an upper bound that is determined by the density parameter. We show that if one is sa...
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Geodetic and meteorological data, collected via satellites for example, are genuinely scattered, and not confined to any special set of points. Even so, known quadrature formulas used in numerically computing integrals involving such data have had restrictions either on the sites (points) used or, more significantly, on the number of sites required. Here, for the unit sphere embedded in Rq, we ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2009
ISSN: 0021-9045
DOI: 10.1016/j.jat.2008.07.006