Results 21 to 30 of about 164 (149)
ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
Проблемы анализа, 2015 Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been ...
Z. Liu
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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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New Inequalities for η-Quasiconvex Functions [PDF]
, 2019 This is a preprint of a paper whose final and definite form is accepted 19-Sept-2018 as a book chapter at Springer New York, on the topic of 'Frontiers in Functional Equations and Analytic Inequalities', Edited by G.
Nwaeze, Eze R., Torres, Delfim F. M.
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On extension of uniformly continuous quasiconvex functions
Proceedings of the American Mathematical Society, 2023 We show that each uniformly continuous quasiconvex function defined on a subspace of a normed space X X admits a uniformly ...
de Bernardi C. A., Vesely L.
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Convex and quasiconvex functions in metric graphs
Networks & Heterogeneous Media, 2021 <p style='text-indent:20px;'>We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We characterize this largest convex function as the unique largest viscosity subsolution to a simple differential equation, <inline-formula> ...
Leandro M. Del Pezzo +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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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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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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