Results 81 to 90 of about 122 (116)
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Pseudoconvexity and Analytic Discs
Annals of Global Analysis and Geometry, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ANNALI DELL'UNIVERSITA' DI FERRARA, 2009
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Barozzi E. +2 more
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Barozzi E. +2 more
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Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions
Journal of Optimization Theory and Applications, 1981The purpose of this paper is twofold. Firstly, criteria for quasiconvex and pseudoconvex quadratic functions in nonnegative variables of Cottle, Ferland, and Martos are derived by specializing criteria proved by the author. We do not make use of the concept of positive subdefinite matrices.
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On the convexifiability of pseudoconvex C2-functions
Mathematical Programming, 1980We present new criteria that characterize functions which are convex transformable by a suitable strictly increasing function. We concentrate on twice continuously differentiable pseudoconvex and strictly pseudoconvex functions, and derive conditions which are both necessary and sufficient for these functions to be convex transformable.
Siegfried Schaible, Israel Zang
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Regularity at the boundary for v onQ-pseudoconvex domainsonQ-pseudoconvex domains
Journal d'Analyse Mathématique, 2005Solvability for\(\bar \partial \) with regularity at the boundary of a domain Ω ⊂⊂ ℂ n for forms of any degreek≥1 was characterized by pseudoconvexity of ϖΩ in [16]. It is proved here thatq-pseudoconvexity suffices to guarantee solvability of forms of degreek≥q+1.
Luca Baracco, Giuseppe Zampieri
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Polynomials and pseudoconvexity
Mathematics Seminar Notes, 1983The author presents a new notion of pseudoconvexity by means of an Oka's family of analytic discs, and he shows that this definition is equivalent to the standard definition of pseudoconvexity. \(0_ m\) pseudoconvex domain is defined too. His definition of \(0_ m\) pseudoconvex domain is as such that if \(k>m\) then \(0_ k\) pseudoconvex domain is also
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Boundary Invariants of Pseudoconvex Domains
The Annals of Mathematics, 1984Let \(\Omega \subseteq {\mathbb{C}}^ n\) be a smoothly bounded pseudoconvex domain. A notion of multitype of a point \(P\in \partial \Omega\) is introduced. This term is defined in terms of directional derivatives of a defining function for \(\partial \Omega\).
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Convexifiable pseudoconvex and strictly pseudoconvex C2-functions
2005S. Schaible, I. Zang
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Linear interval parametric approach to testing pseudoconvexity
Journal of Global Optimization, 2020Iwona Skalná +2 more
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