منابع مشابه
Combinations of multivariate averages
Rate of approximation of combinations of averages on the spheres is shown to be equivalent to K-functionals yielding higher degree of smoothness. Results relating combinations of averages on rims of caps of spheres are also achieved. © 2004 Elsevier Inc. All rights reserved. MSC: 41A17; 41A63; 26B33; 46E35
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The notion of complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and multivariate B-splines. To derive properties of complex B-splines in R, 1 < s ∈ N, the Dirichlet average has to be generalized to include infinite dimensional simplices △∞. Based on this generalization several identities of mu...
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For the Schoenberg B-splines, interesting relations between their functional representation, Dirichlet averages and difference operators are known. We use these relations to extend the B-splines to an arbitrary (infinite) sequence of knots and to higher dimensions. A new Fourier domain representation of the multidimensional complex B-spline is given. 1. Complex B-Splines Complex B-splines are a...
متن کاملMoving Averages
More generally, weighted averages may also be used. Moving averages are also called running means or rolling averages. They are a special case of “filtering”, which is a general process that takes one time series and transforms it into another time series. The term “moving average” is used to describe this procedure because each average is computed by dropping the oldest observation and includi...
متن کاملQuantum Averages of Weak Values
Yakir Aharonov 2, 3 and Alonso Botero 4, ∗ 1 Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208 Department of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel Department of Physics and Astronomy, George Mason University, Fairfax, VA 22030 4 Departamento de F́ısica, Universidad de Los Andes, Apartado Aéreo 4976, Bogotá, Colombia (Dated: August ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2004
ISSN: 0021-9045
DOI: 10.1016/j.jat.2004.10.003