Linear functional inequalities–-a general theory and new special cases

DOI10.4064/dm438-0-1zbMath1131.39026OpenAlexW4230664044MaRDI QIDQ5477533

Marek Pycia

Publication date: 4 July 2006

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/dm/Inf/438-0-1.html

zbMATH Keywords

monographgeneral solutionsubadditivitypower functionshomogeneity conditionsp-convexityJensen-convexitygeneralized subadditivityF-pseudonormslinear functional inequalityp-homogeneity

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Inequalities for trigonometric functions and polynomials (26D05) Elementary functions (26A09) Orthogonal additivity and other conditional functional equations (39B55) Inequalities involving other types of functions (26D07)

Related Items (5)

Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ A generalization of \(m\)-convexity and a sandwich theorem ⋮ Pointwise monotonic functions and generalized subadditivity ⋮ Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals ⋮ Convexity properties of functions defined on metric abelian groups

This page was built for publication: Linear functional inequalities–-a general theory and new special cases