Search results for "Regular polygon"

showing 2 items of 132 documents

Splines in convex sets under constraints of two‐sided inequality type in a hyperplane

2008

The problem of minimization of a smoothing functional under inequality constraints is considered in a hyperplane. The conditions of the existence of a solution are obtained and some properties of this solution are investigated. It is proved that the solution is a spline. The method for its construction is suggested. First Published Online: 14 Oct 2010

smoothing problemMathematical analysisRegular polygonLinear matrix inequalityHalf-spacesplineSpline (mathematics)Simplex algorithmHyperplaneModeling and SimulationQA1-939Applied mathematicsThin plate splinesimplex methodAnalysisSmoothingMathematicsMathematicsMathematical Modelling and Analysis
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THE ARITHMETIC BOHR RADIUS

2007

We study the arithmetic Bohr radius of Reinhardt domains in ℂ n which was successfully used in our study of monomial expansions for holomorphic functions in infinite dimensions. We show that this new Bohr radius is different from the radii invented by Boas and Khavinson and Aizenberg. It gives an explicit formula for the n-dimensional hypercone (which means n-dimensional variants of classical results of Bohr and Bombieri), and moreover asymptotically corrects upper and lower estimates for various types of convex and non-convex Reinhardt domains.

symbols.namesakeMonomialMathematics::Complex VariablesGeneral MathematicssymbolsRegular polygonHolomorphic functionHyperconeArithmeticBohr radiusBohr modelMathematicsThe Quarterly Journal of Mathematics
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