Results 11 to 20 of about 130 (118)
Disciplined quasiconvex programming [PDF]
Optimization Letters, 2020 p.
Akshay Agrawal 0001, Stephen P. Boyd
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Higher-Order Quasiconvexity Reduces to Quasiconvexity [PDF]
Archive for Rational Mechanics and Analysis, 2004 In this paper it is shown that higher order quasiconvex functions suitable in the variational treatment of problems involving second derivatives may be extended to the space of all matrices as classical quasiconvex functions. Precisely, it is proved that a smooth strictly 2-quasiconvex function with p-growth at infinity, p>1, is the restriction to ...
Dal Maso, Gianni +3 more
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Quasiconvexity and Amalgams [PDF]
International Journal of Algebra and Computation, 1997 We obtain a criterion for quasiconvexity of a subgroup of an amalgamated free product of two word hyperbolic groups along a virtually cyclic subgroup. The result provides a method of constructing new word hyperbolic group in class (Q), that is such that all their finitely generated subgroups are quasiconvex.
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A-Quasiconvexity: Relaxation and Homogenization [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2000 The paper deals with problems in the calculus of variations where minimization of the energy functional \[ (u,v)\mapsto\int_\Omega f\bigl(x,u(x),v(x)\bigr) dx \] (with \(\Omega\subset{\mathbb{R}}^N\) open, \(u:\Omega\to{\mathbb{R}}^m\), \(v:\Omega\to{\mathbb{R}}^d\)) is performed with a differential constraint \({\mathcal A}v=0\), where \[ {\mathcal A ...
Braides, Andrea +2 more
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Generalized fractional integral inequalities by means of quasiconvexity
Advances in Difference Equations, 2019 Using the newly introduced fractional integral operators in (Fasc. Math. 20(4):5-27, 2016) and (East Asian Math. J. 21(2):191-203, 2005), we establish some novel inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute
Eze R. Nwaeze
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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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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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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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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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