Functions with Uniform Sublevel Sets, Epigraphs and Continuity

Variational Analysis and Set Optimization ◽

10.1201/b22166-5 ◽

2019 ◽

pp. 92-111

Author(s):

Petra Weidner

Keyword(s):

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Convergence of epigraphs and of sublevel sets

Set-Valued Analysis ◽

10.1007/bf01027690 ◽

1993 ◽

Vol 1 (2) ◽

pp. 159-183 ◽

Author(s):

Gerald Beer ◽

Roberto Lucchetti

Keyword(s):

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Normal Cones to Sublevel Sets: An Axiomatic Approach

Lecture Notes in Economics and Mathematical Systems - Generalized Convexity and Generalized Monotonicity ◽

10.1007/978-3-642-56645-5_5 ◽

2001 ◽

pp. 88-101 ◽

Author(s):

Didier Aussel ◽

Aris Daniilidis

Keyword(s):

Axiomatic Approach ◽

Normal Cones ◽

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Decay near boundary of volume of sublevel sets of m-subharmonic functions

Indagationes Mathematicae ◽

10.1016/j.indag.2021.09.001 ◽

2021 ◽

Author(s):

Quang Dieu Nguyen ◽

Thai Duong Do

Keyword(s):

Subharmonic Functions ◽

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On covering numbers of sublevel sets of analytic functions

Journal of Approximation Theory ◽

10.1016/j.jat.2009.03.005 ◽

2010 ◽

Vol 162 (1) ◽

pp. 72-93 ◽

Author(s):

Alexander Brudnyi

Keyword(s):

Analytic Functions ◽

Covering Numbers ◽

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A class of functions whose sublevel sets are absolute retracts

Topology and its Applications ◽

10.1016/j.topol.2007.01.026 ◽

2008 ◽

Vol 155 (8) ◽

pp. 871-873 ◽

Author(s):

Biagio Ricceri

Keyword(s):

Absolute Retracts ◽

Sublevel Sets ◽

Class Of Functions

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On the convexity of sublevel sets of polynomial and homogeneous polynomial Lyapunov functions

Proceedings of the 45th IEEE Conference on Decision and Control ◽

10.1109/cdc.2006.377486 ◽

2006 ◽

Author(s):

G. Chesi ◽

Y.S. Hung

Keyword(s):

Lyapunov Functions ◽

Homogeneous Polynomial ◽

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Volume of Sublevel Sets Versus Area of Level Sets via Gelfand-Leray Form

Acta Mathematica Vietnamica ◽

10.1007/s40306-019-00332-7 ◽

2019 ◽

Vol 44 (4) ◽

pp. 915-922

Author(s):

Duc Tai Trinh

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Oscillatory Loomis—Whitney and Projections of Sublevel Sets

Journal d Analyse Mathématique ◽

10.1007/s11854-021-0190-3 ◽

2021 ◽

Author(s):

Maxim Gilula ◽

Kevin O’Neill ◽

Lechao Xiao

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Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions

SIAM Journal on Applied Dynamical Systems ◽

10.1137/19m1262528 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1029-1056

Author(s):

Peter Giesl ◽

Conor Osborne ◽

Sigurdur Hafstein

Keyword(s):

Lyapunov Functions ◽

Automatic Determination ◽

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Volume of Sublevel Sets of Homogeneous Polynomials

SIAM Journal on Applied Algebra and Geometry ◽

10.1137/18m1222478 ◽

2019 ◽

Vol 3 (2) ◽

pp. 372-389 ◽

Author(s):

Jean B. Lasserre

Keyword(s):

Homogeneous Polynomials ◽

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