Results 21 to 30 of about 532 (159)
New parameterized quantum integral inequalities via η-quasiconvexity
Advances in Difference Equations, 2019 We establish new quantum Hermite–Hadamard and midpoint types inequalities via a parameter μ∈[0,1] $\mu \in [0,1]$ for a function F whose |αDqF|u $|{}_{\alpha }D_{q}F|^{u}$ is η-quasiconvex on [α,β] $[\alpha ,\beta ]$ with u≥1 $u\geq 1$.
Eze R. Nwaeze, Ana M. Tameru
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On Quasiconvex Functions Which are Convexifiable or Not [PDF]
Journal of Optimization Theory and Applications, 2021 A quasiconvex function f being given, does there exist an increasing and continuous function k which makes k∘f convex? How to build such a k? Some words on least convex (concave) functions. The ratio of two positive numbers is neither locally convexifiable nor locally concavifiable. Finally, some considerations on the approximation of a preorder from a
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Generalized quasiconvex set-valued maps
Journal of Numerical Analysis and Approximation Theory, 2002 The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain.
Nicolae Popovici
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Separation of relatively quasiconvex subgroups [PDF]
Pacific Journal of Mathematics, 2009 Suppose that all hyperbolic groups are residually finite. The following statements follow: In relatively hyperbolic groups with peripheral structures consisting of finitely generated nilpotent subgroups, quasiconvex subgroups are separable; Geometrically finite subgroups of non-uniform lattices in rank one symmetric spaces are separable; Kleinian ...
Manning, Jason Fox +1 more
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Quasiconvexity in relatively hyperbolic groups
, 2016 International audienceAbstract We study different notions of quasiconvexity for a subgroup H of a relatively hyperbolic group G . Our first result implies that relative geometric quasiconvexity is equivalent to dynamical quasiconvexity as it was ...
Potyagailo, L. +3 more
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Generalizations of quasiconvexity for finitely generated groups [PDF]
, 2021 For a word-hyperbolic group G, the notion of quasiconvexity of a finitely generated subgroup H of G is independent of the choices of finite generating sets for G and H, and is equivalent to H being quasi- isometrically embedded in G. However, beyond word-
Kim, Heejoung
core
Michigan Mathematical Journal, 1985 Let \(f\) be a univalent analytic mapping of the unit disk \({\mathbb{D}}\) onto a convex domain. Form any Möbius transform \[ F(z)=[af(z)+b]/[f(z)- d]=\sum^{\infty}_{n=0}c_ nz^ n\text{ with }d\not\in f({\mathbb{D}}). \] \textit{R.R.Hall} [Bull. Lond. Math. Soc. 12, 25-28 (1980; Zbl 0434.30012)] proved that \[ | F(z)-c_ 0| \leq \pi^ 2| c_ 1| | z| /(1-|
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On Artin's braid group and polyconvexity in the calculus of variations [PDF]
, 2003 Let Ω ⊂ 2 be a bounded Lipschitz domain and let F : Ω × 2×2 + −→ be a Carathèodory integrand such that F (x, ·) is polyconvex for L2-a.e. x ∈ Ω. Moreover assume that F is bounded from below and satisfies the condition F (x, ξ) ∞ as det ξ 0 for L2-
ALI TAHERI +2 more
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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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