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Titlebook: Recent Progress in Multivariate Approximation; 4th International Co Werner Haussmann,Kurt Jetter,Manfred Reimer Conference proceedings 2001

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Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres,Let .. be the Gegenbauer polynomials, orthogonal on [−1,1] with respect to the weight (1 − ..)., normalised by ..
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The Geometry of Nodes in a Positive Quadrature on the Sphere,Assume the integral .,.ω standard measure on the unit sphere S. in ℝ., .≥3,is approximated by the quadrature .,.with nodes ..,…,.. ∈ S. and weights ..>0 and satisfying.ℙ. the space of all spherical polynomials of degree ., . ∈ ℕ. What can be said about the geometry of the nodes on the basis of this information?
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Cubature Formulae for Polyharmonic Functions,, ..−1) over . distinct (d−1)dimensional hyperspheres .(..)of radius .., respectively, which integrate exactly wide classes of functions defined as the . of given radial functions, and including the class of polyharmonic functions of fixed order.
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Some Cubature Formulae Using Mixed Type Data,ndary of .. or the coordinate axes, and evaluations at the points of a uniform grid. The error of these cubature formulae is analyzed, in particular the exact Peano constants are found for some classes of functions of low smoothness.
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move towards the target position efficiently, it is necessary to perform the real learning by two robots. Therefore, it is important to discuss the approach for efficient movement and perform experiment with real robots. Since huge time is required for learning in real robots, it is important to re
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Manfred Reimer,Hubert Schwetlick move towards the target position efficiently, it is necessary to perform the real learning by two robots. Therefore, it is important to discuss the approach for efficient movement and perform experiment with real robots. Since huge time is required for learning in real robots, it is important to re
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Nikolay N. Andreev,Vladimir A. Yudin move towards the target position efficiently, it is necessary to perform the real learning by two robots. Therefore, it is important to discuss the approach for efficient movement and perform experiment with real robots. Since huge time is required for learning in real robots, it is important to re
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