Results 21 to 30 of about 430 (171)
On ω-quasiconvex functions [PDF]
Mathematical Inequalities & Applications, 2012 In the paper we introduce convexity-like notions based on modification of quasiconvexity. DEFINITION. Let I be a real interval and ω 0 a given number. We say that a function f : I → R is ω -quasiconvex, ω -quasiconcave, respectively, if f (tx+(1− t)y) max( f (x), f (y))−ωmin(t,1− t)|x− y|, f (tx+(1− t)y) max( f (x), f (y))−ωmax(t,1− t)|x− y|, for x,y ∈
Jacek Tabor +2 more
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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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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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Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families
Journal of Applied Mathematics, 2016 Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied.
Marco Longinetti +2 more
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Extendability of continuous quasiconvex functions from subspaces
, 2023 Let Y be a subspace of a topological vector space X, and A ⊂X an open convex set that intersects Y. We say that the property (QE) [property (CE)] holds if every continuous quasiconvex [continuous convex] function on A ∩Y admits a continuous quasiconvex ...
C. A. De Bernardi +3 more
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Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices
, 2022 In this paper we apply a smoothing technique for the maximum function, based on the compensated convex transforms, originally proposed by Zhang in [1] to construct some computable multiwell non-negative quasiconvex functions in the calculus of variations.
Yin, Ke, Zhang, Kewei
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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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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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Simple incentives and diverse beliefs
Theoretical Economics, Volume 21, Issue 2, Page 500-534, May 2026.This paper studies a moral hazard problem in which the principal does not know the agent's beliefs about the output generating process. The agent is risk neutral, transfers are subject to limited liability, and the principal evaluates contracts according to their worst‐case payoff against a rich set of plausible agent beliefs.
Maxwell Rosenthal
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Characterisations of quasiconvex functions [PDF]
Bulletin of the Australian Mathematical Society, 1993 In this paper we introduce the concept of quasimonotone maps and prove that a lower semicontinuous function on an infinite dimensional space is quasiconvex if and only if its generalised subdifferential or its directional derivative is quasimonotone.
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