Results 11 to 20 of about 4,848,832 (374)
Weighted Approximation of Functions on the Unit Sphere [PDF]
Constructive Approximation, 2003 The direct and inverse theorems are established for the best approximation in the weighted $L^p$ space on the unit sphere of $\RR^{d+1}$, in which the weight functions are invariant under finite reflection groups. The theorems are stated using a modulus of smoothness of higher order, which is proved to be equivalent to a $K$-functional defined using ...
Xu, Yuan
core +7 more sources
Maximal function and Multiplier Theorem for Weighted Space on the Unit Sphere [PDF]
arXiv, 2007 For a family of weight functions invariant under a finite reflection group, the boundedness of a maximal function on the unit sphere is established and used to prove a multiplier theorem for the orthogonal expansions with respect to the weight function on the unit sphere.
Dai, Feng, Xu, Yuan
arxiv +6 more sources
Optimization on the Euclidean Unit Sphere [PDF]
SIAM Journal on Optimization, 2022 We consider the problem of minimizing a continuously differentiable function f of m linear forms in n variables on the Euclidean unit sphere. We show that this problem is equivalent to minimizing the same function of related m linear forms (but now in m variables) on the Euclidean unit ball.
J. Lasserre
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Gaussian semiparametric estimates on the unit sphere [PDF]
Bernoulli, 2014 Published in at http://dx.doi.org/10.3150/12-BEJ475 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
Durastanti, Claudio +2 more
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Near-isometries of the unit sphere
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 517.5We approximate ε -isometries of the unit sphere in ℓ 2 n and ℓ ∞ n by linear isometries.
I. A. Vestfrid
semanticscholar +4 more sources
Nikolskii constants for polynomials on the unit sphere [PDF]
Journal d'Analyse Mathématique, 2020 This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space $ _n^d$ of spherical polynomials of degree at most $n$ on the unit sphere $\mathbb{S}^d\subset \mathbb{R}^{d+1}$ as $n\to\infty$.
Sergey Tikhonov +3 more
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On the unit sphere of positive operators [PDF]
Banach Journal of Mathematical Analysis, 2019 Given a C$^*$-algebra $A$, let $S(A^+)$ denote the set of those positive elements in the unit sphere of $A$. Let $H_1$, $H_2,$ $H_3$ and $H_4$ be complex Hilbert spaces, where $H_3$ and $H_4$ are infinite-dimensional and separable. In this note we prove a variant of Tingley's problem by showing that every surjective isometry $ : S(B(H_1)^+)\to S(B(H_2)
A. M. Peralta
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Feature Tracking on the Unit Sphere [PDF]
Monthly Weather Review, 1995 Techniques used in a previous study of the objective identification\ud and tracking of meteorological features in model data are extended\ud to the unit sphere. An alternative feature detection scheme is described\ud based on cubic interpolation for the sphere and local maximization.\ud The extension of the tracking technique, used in the previous ...
Kevin I. Hodges
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Moduli of smoothness and approximation on the unit sphere and the unit ball [PDF]
Advances in Mathematics, 2010 63 pages, to appear in Advances in ...
Feng Dai, Yuan Xu
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International Journal of Game Theory, 2017 This paper introduces a class of games, called unit-sphere games, where strategies are real vectors with unit 2-norms (or, on a unit-sphere). As a result, they can no longer be interpreted as probability distributions over actions, but rather be thought of as allocations of one unit of resource to actions and the multiplicative payoff effect on each ...
Pingzhong Tang, Hanrui Zhang
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