On a separation for the Cauchy equation on spheres

DOI10.1016/J.NA.2012.07.007zbMath1256.39017OpenAlexW2005480909MaRDI QIDQ452432

Włodzimierz Fechner, Justyna Sikorska

Publication date: 21 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.007

zbMATH Keywords

normed spaceinner product spaceseparationsubadditivitysuperadditivityconditional functional inequalitiesfunctional equations on spheres

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (2)

Generalized stability of the Cauchy and the Jensen functional equations on spheres ⋮ Recent developments of the conditional stability of the homomorphism equation

Cites Work

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• On separation theorems for subadditive and superadditive functionals
• Polynomial selections and separation by polynomials
• Abstract separation theorems of Rodé type and their applications
• Interpolation of additive functionals
• Sur les espaces métriques linéaires (II)

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