BOUNDS IN TERMS OF GÂTEAUX DERIVATIVES FOR THE WEIGHTED f-GINI MEAN DIFFERENCE IN LINEAR SPACES

DOI10.1017/S0004972711002048zbMath1223.46044OpenAlexW1964210891MaRDI QIDQ3004959

Sever Silvestru Dragomir

Publication date: 6 June 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972711002048

zbMATH Keywords

Jensen's inequalityconvex functionsnormssemi-inner productsweighted \(f\)-Gini mean differenceGâteaux lateral derivatives

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Unnamed Item
• Weighted \(f\)-Gini mean difference for convex and symmetric functions in linear spaces
• Some refinements of Jensen's inequality
• Multivariate Gini indices
• Bounds for ther-weighted Gini mean difference of an empirical distribution
• Bounds for the Gini mean difference of an empirical distribution
• Bounds for the normalised Jensen functional
• SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

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