Jensen's functional equation on groups

DOI10.1007/BF01833945zbMath0688.39007OpenAlexW4249552833MaRDI QIDQ1263751

Che Tat Ng

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/137340

zbMATH Keywords

free groupabelian groupJensen's functional equationmultiplicative group

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (19)

On the stability of Jensen's functional equation on groups ⋮ Stability of Jensen functional equation on semigroups ⋮ More about Wilson's functional equation ⋮ Ulam stability of Jensen functional inequality on a class of noncommutative groups ⋮ Jensen, multi-Jensen and polynomial functions on arbitrary Abelian groups ⋮ Functional equations on semigroups with an endomorphism ⋮ A functional equation related to Whitehead's equation on groups ⋮ Jensen's functional equation on the symmetric group \(S_n\) ⋮ The symmetrized sine addition formula ⋮ Solutions of the \(n\)th-order Cauchy difference equation on groups ⋮ Solutions of the third order Cauchy difference equation on groups ⋮ On Jensen's functional equation ⋮ The stability of Jensen's equation on amenable locally compact groups ⋮ Orthogonally \(a\)-Jensen mappings on \(C^*\)-modules ⋮ A variant of Jensen's functional equation on semigroups ⋮ The hyperstability of general linear equation via that of Cauchy equation ⋮ Kernels of higher order Cauchy differences on free groups ⋮ A pexiderization of Whitehead's equation ⋮ On Wilson's functional equations

Cites Work

• A generalization of the cosine-sine functional equation on groups
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