Results 21 to 30 of about 130 (118)
Quasiconvex functions can be approximated by quasiconvex polynomials [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2008 Summary: Let \(W\) be a function from the real \(m\times n\)-matrices to the real numbers. If \(W\) is quasiconvex in the sense of the calculus of variations, then we show that \(W\) can be approximated locally uniformly by quasiconvex polynomials.
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Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
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Dynamic Incentives in Incompletely Specified Environments
Econometrica, Volume 94, Issue 2, Page 375-406, March 2026.Consider a repeated interaction where it is unknown which of various stage games will be played each period. This framework separates the basic logic of intertemporal incentives from the requirement that any given strategy profile yields a well‐defined payoff vector.
Gabriel Carroll
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A dual generalization of convex functions
Journal of Numerical Analysis and Approximation Theory, 2007 As it is well known, the convexity property of a function may be described by the quasiconvexity property of all "the dual perturbations" of this function.
M. Apetrii
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Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
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Quasiconvexity and Density Topology [PDF]
Canadian Mathematical Bulletin, 2014 AbstractWe prove that if f : ℝN → ℝ̄ is quasiconvex and U ⊂ ℝN is open in the density topology, then supU ƒ = ess supU f ; while infU ƒ = ess supU ƒ if and only if the equality holds when U = RN: The first (second) property is typical of lsc (usc) functions, and, even when U is an ordinary open subset, there seems to be no record that they both hold ...
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Journal of Control Science and Engineering, Volume 2026, Issue 1, 2026.This paper presents an optimal control framework for regulating output voltage in a resistor–capacitor (RC) circuit, which is critical for the reliable operation of many electronic devices. Despite the importance of precise voltage regulation, research systematically exploring and comparing different optimal control strategies for low‐power circuits ...
Saleh Alshamali +3 more
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the class of interval‐valued s‐convex functions in the second sense sIVC2 using Caputo–Fabrizio CF integrals. Some generalizations of the Hermite–Hadamard HH‐type, Hermite–Hadamard–Fejér HHF‐type, and Hermite–Hadamard–Mercer HHM‐type inclusions involving the CF integrals are developed.
Ammara Nosheen +5 more
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MATEC Web of Conferences, 2015 A major open problem in the mathematical analysis of martensitic phase transformations is the derivation of explicit formulae for the set of recoverable strains and for the relaxed energy of the system.
Schlömerkemper Anja +3 more
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