From the Hahn-Banach extension theorem to the isotonicity of convex functions and the majorization theory

DOI10.1007/s13398-020-00905-4OpenAlexW3043574078MaRDI QIDQ2006807

Octav Olteanu, Constantin P. Niculescu

Publication date: 12 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00905-4

zbMATH Keywords

convex functionsubdifferentialordered Banach spaceorder complete vector spacemajorization theoryisotone function

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Positive linear operators and order-bounded operators (47B65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (8)

On Hahn-Banach theorem and some of its applications ⋮ New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ Functions with positive differences on convex cones ⋮ Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ Old and new on the 3-convex functions ⋮ The Hardy-Littlewood-Pólya inequality of majorization in the context of \(\omega\)-\(\mathbf{m}\)-star-convex functions ⋮ A new look at the Hardy-Littlewood-Pólya inequality of majorization ⋮ Nonlinear versions of Korovkin's abstract theorems

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