Characterizations of \(r\)-convex functions

DOI10.1007/s10957-009-9617-1zbMath1231.90314OpenAlexW1975201182MaRDI QIDQ970573

Shou-Yang Wang, Luis Coladas Uria, Yingxue Zhao

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1007/s10957-009-9617-1

zbMATH Keywords

quasiconvex functionsconvex functionspositive-definite matrices\(r\)-convexitypositive-semidefinite matricesstrict \(r\)-convexity

Mathematics Subject Classification ID

Convex programming (90C25)

Related Items (8)

New classes of strongly exponentially preinvex functions ⋮ New trends in general variational inequalities ⋮ Characterizations of semi-prequasi-invexity ⋮ The supermodularity of the tax competition game ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Properties of exponentially \(m\)-convex functions ⋮ Quantum inequalities of Hermite-Hadamard type for \(r\)-convex functions

Cites Work

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• Logarithmic convexity and geometric programming
• Semicontinuity and quasiconvex functions
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• Three kinds of generalized convexity
• A criterion for \(n\)-convexity
• Some analytical properties of \(\gamma\)-convex functions on the real line
• Some properties of globally δ-convex functions^∗
• Symmetrically_γ-Convex Functions
• Seven Kinds of Convexity
• r-convex functions
• \((p,r)\)-invex sets and functions
• Characterizations and applications of prequasi-invex functions.

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