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Bilevel programs with extremal value function: global optimality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 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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Theorem on the Structure of the Fractionally Linear Functional Extremal Function
Mathematics, 2023 The paper proves a theorem about the structure of the distribution function on which the extremum of the fractionally linear functional is reached in the presence of an uncountable number of linear constraints.
Victor Kashtanov +2 more
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Extremal problems related to convexity
Journal of Inequalities and Applications, 2016 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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Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes [PDF]
, 2009 We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries and all static near-horizon geometries for ...
Lucietti, James, Kunduri, Hari K.
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Functionals of clusters of extremes [PDF]
Advances in Applied Probability, 2003 For arbitrary stationary sequences of random variables satisfying a mild mixing condition, distributional approximations are established for functionals of clusters of exceedances over a high threshold. The approximations are in terms of the distribution of the process conditionally on the event that the first variable exceeds the threshold.
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Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Advances in Nonlinear Analysis, 2023 In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalization ...
Hu Yunyun
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Extremal distributions of discrepancy functions [PDF]
Journal of Complexity, 2019 11 ...
Ralph Kritzinger, Markus Passenbrunner
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Extremal orders of some functions connected to regular integers modulo n
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of , , , , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for and ,
Brăduţ Apostol
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Nuclear Physics B, 2019 The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordström anti-de Sitter black holes are investigated by the scattering of the scalar field.
Deyou Chen, Wei Yang, Xiaoxiong Zeng
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Approximation by Extreme Functions
Journal of Approximation Theory, 1999 For a topological space \(T\) and a real normed space \(X\) let \(Y= C(T,X)\), the normed space of all \(X\)-valued bounded continuous functions on \(T\) endowed with the supremum norm. Let \(Y^{-1}=\{f\in Y:f\) does not vanish in any \(t\in T\}\). For \(f\in Y\), let \(\alpha(f)= d(f,Y^{-1})\) and let \(m(f)= \inf \{\|f(t)\|: t\in T\}\).
Jiménez-Vargas, A +2 more
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