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Jensen, multi-Jensen and polynomial functions on arbitrary Abelian groups

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Publication:623410
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DOI10.1007/s00010-010-0036-zzbMath1215.39030OpenAlexW1989533001MaRDI QIDQ623410

Jens Schwaiger, Wolfgang Prager

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00010-010-0036-z


zbMATH Keywords

functional equationabelian groupsgeneralized polynomialsmulti-Jensen functions


Mathematics Subject Classification ID

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


Related Items (2)

On a general \(n\)-linear functional equation ⋮ Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in \(n\)-Banach spaces



Cites Work

  • Polynomial mappings on Abelian groups
  • Jensen's functional equation on groups
  • Multi-affine and multi-Jensen functions and their connection with generalized polynomials
  • STABILITY OF THE MULTI-JENSEN EQUATION
  • ON MULTI-JENSEN FUNCTIONS AND JENSEN DIFFERENCE
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