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Extremal distributions of discrepancy functions [PDF]
The irregularities of a distribution of $N$ points in the unit interval are often measured with various notions of discrepancy. The discrepancy function can be defined with respect to intervals of the form $[0,t)\subset [0,1)$ or arbitrary subintervals of the unit interval.
Kritzinger, Ralph, Passenbrunner, Markus
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Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory
Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region.
Nabamita Banerjee +3 more
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Extremal problems related to convexity
We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓ p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
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Revisiting leading quantum corrections to near extremal black hole thermodynamics
Computing the 4D Euclidean path integral to one-loop order we find the large quantum corrections that govern the behavior of a spherically symmetric non-supersymmetric near-extremal black hole at very low temperature.
Nabamita Banerjee, Muktajyoti Saha
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Uniform Convergence of Some Extremal Polynomials in Domain with Corners on the Boundary
The aim of this paper is to investigate approximation properties of some extremal polynomials in Ap1, p>0 space. We are interested in finding approximation rate of extremal polynomials to Riemann function in Ap1 and C-norms on domains bounded by ...
M. Kucukaslan +2 more
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Bilevel programs with extremal value function: global optimality
For a bilevel program with extremal value function, a necessary and sufficient condition for global optimality is given, which reduces the bilevel program to a max-min problem with linked constraints. Also, for the case where the extremal value function
Abdelmalek Aboussoror +2 more
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Optimal recovery of derivatives of Hardy class functions [PDF]
The paper considers the best linear method for approximating the values of derivatives of Hardy class functions in the unit circle at zero according to the information about the values of functions at a finite number of points z1,...,zn that form a ...
Ovchintsev Mikhail
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Optimal Difference Formulas in the Sobolev Space
Optimization of computational methods in functional spaces is one of the main problems of computational mathematics. In this paper, algebraic and functional assertions for the problem of difference formulas are discussed.
Kh. M. Shadimetov, R. N. Mirzakabilov
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AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS [PDF]
Let S be the class of functions f(z)=z+a2z 2 …, f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x .
Miodrag IOVANOV
doaj
Extremal behavior of divisibility functions [PDF]
In this short article, we study the extremal behavior $F_ (n)$ of divisibility functions $D_ $ introduced by the first author for finitely generated groups $ $. We show finitely generated subgroups of $\GL(m,K)$ for an infinite field $K$ have at most polynomial growth for the function $F_ (n)$.
Bou-Rabee, Khalid, McReynolds, D. B.
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