Results 71 to 80 of about 134,664 (159)
Cubature formulas and Sobolev inequalities
We study a problem in the theory of cubature formulas on the sphere: given $ \in (0, 1)$, determine the infimum of $\| \|_ = \sum_{i = 1}^n _i^ $ over cubature formulas $ $ of strength $t$, where $ _i$ are the weights of the formula $ $. This problem, which generalizes the classical problem of bounding the minimal cardinality of a cubature ...
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A Review of Multisensor Data Fusion Solutions in Smart Manufacturing: Systems and Trends. [PDF]
Tsanousa A +8 more
europepmc +1 more source
A new implementation of a semi-continuous method for DNA mixture interpretation. [PDF]
Alfieri J +9 more
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Cubature formulas on combinatorial graphs
The goal of the paper is to establish cubature formulas on combinatorial graphs. Two types of cubature formulas are developed. Cubature formulas of the first type are exact on spaces of variational splines on graphs. Since badlimited functions can be obtained as limits of variational splines we obtain cubature formulas which are "essentially" exact on ...
Pesenson, Isaac Z. +2 more
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Cubature formulae for the Gaussian weight. Some old and new rules.
R. Orive +2 more
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EXTREMAL PROBLEMS FOR CUBATURE FORMULAS
Levin, M. I., Girsovic, Ju. M.
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Cubature formulae for spheres, simplices and balls
The paper is organized in 5 Sections. The first two contain respectively the motivation for the choice of the subject and some results concerning properties of polyharmonic functions. In Section 3, cubature on the sphere \(S(r)=\{x\in\mathbb{R}^n:| x| =r\}\) on the form \[ \int_{S(r)}\mu(\xi) \,d\sigma(\xi)\simeq \sum^{m-1}_{j=0} A_j(r)\int_{S(r_j)}\mu(
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Cubature formulae for nearly singular and highly oscillating integrals
D. Occorsio, Giada Serafini
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Existence of Gaussian cubature formulas
We provide a necessary and sufficient condition for existence of Gaussian cubature formulas. It consists of checking whether some overdetermined linear system has a solution and so complements Mysovskikh's theorem which requires computing common zeros of orthonormal polynomials. Moreover, the size of the linear system shows that existence of a cubature
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Near-minimal cubature formulae on the disk
B. Benouahmane, Cuyt Annie, Irem Yaman
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