𝔹-Convexity, 𝔹−1-Convexity, and Their Comparison

DOI10.1080/01630563.2014.970641zbMath1333.52007OpenAlexW1672399379MaRDI QIDQ5251579

Serap Kemali, Ilknur Yesilce, Gabil R. Adilov

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.970641

zbMATH Keywords

convex polytopeabstract convexity\(\mathbb{B}\)-convex functionsKuratowski-Painléve limit

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (10)

The Hermite-Hadamard inequalities for $p$-convex functions ⋮ Hermite-Hadamard type inequalities for B-1-convex functions involving generalized fractional integral operators ⋮ Unnamed Item ⋮ The Popoviciu type inequalities for s-convex functions in the third sense ⋮ Unnamed Item ⋮ Unnamed Item ⋮ $s$-Convex functions in the third sense ⋮ Ky-Fan inequality, Nash equilibria in some idempotent and harmonic convex structure ⋮ Inequalities for \(\mathbb{B}\)-convex functions via generalized fractional integral ⋮ p-Convex Functions and Some of Their Properties

Cites Work

• Unnamed Item
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• On generalized means and generalized convex functions
• B⁻¹-Convex Sets and B⁻¹-Measurable Maps
• -convexity
• 𝔹-Convex Sets and Functions
• r-convex functions

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