Some analytical properties of \(\gamma\)-convex functions on the real line
From MaRDI portal
Publication:2564169
DOI10.1007/BF02190127zbMath0868.26005OpenAlexW2084085609MaRDI QIDQ2564169
Hoang Xuan Phu, Nguyen Ngoc Hai
Publication date: 7 January 1997
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02190127
continuitydifferentiabilitygeneralized convexityboundednessintegrabilitybounded variation\(\gamma\)-convex functionsglobally convex functions
Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions in one variable, generalizations (26A51)
Related Items (7)
Six kinds of roughly convex functions ⋮ Strictly and roughly convexlike functions ⋮ Piecewise constant roughly convex functions ⋮ Characterizations of \(r\)-convex functions ⋮ Generalized convexities and generalized gradients based on algebraic operations ⋮ Symmetricallyγ-Convex Functions ⋮ Some analytical properties of \(\gamma\)-convex functions in normed linear spaces
Cites Work
- Unnamed Item
- Unnamed Item
- On sufficiency of the Kuhn-Tucker conditions
- On generalized means and generalized convex functions
- Characterization of generalized monotone maps
- Generalized B-vex functions and generalized B-vex programming
- Seven kinds of monotone maps
- \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
- \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
- On generalized convex functions
- Discrete and nondlscrete quasi eon vexlike functions and single-peakedness (unimodality)
- Generalized convexities of lower semicontinuous functions
- Invex functions and constrained local minima
- On $\Phi $-Convexity in Extremal Problems
- Optimization of Globally Convex Functions
- Local boundedness and continuity of generalized convex functions
- Convex Analysis
- Generalized convex functions
This page was built for publication: Some analytical properties of \(\gamma\)-convex functions on the real line