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Piecewise constant roughly convex functions

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Publication:1411513
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zbMath1043.90067MaRDI QIDQ1411513

Hoang Xuan Phu, Nguyen Ngoc Hai, Phan Thanh An

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)


zbMATH Keywords

Generalized convexitypiecewise constant function\(\gamma\)-convexityrough convexity\(\delta\)-convexity\(\rho\)-convexitymidpoint \(\delta\)-convexitymidpoint \(\gamma\)-convexity


Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26)


Related Items (1)

Strictly and roughly convexlike functions



Cites Work

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  • Six kinds of roughly convex functions
  • \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
  • \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
  • Some analytical properties of \(\gamma\)-convex functions on the real line
  • A Note on roughly convex functions
  • Favard’s ‘fonction penetrante’ —a roughly convex function
  • On generalized convex functions
  • Optimization of Globally Convex Functions
  • Local boundedness and continuity of generalized convex functions
  • Some properties of globally δ-convex functions∗


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