Description

• Title:
  Two functional equations on groups
• Creator:
  Ádám, Zsolt;
  Lajkó, Károly;
  Maksa, Gyula;
  Mészáros, Fruzsina
• Description:
  In this note we give the general solution of the functional equationf(x) f(x+y) = f(y)2 f(x−y)2 g(y),  x,y∈G,and all the solutions off(x) f(x+y) = f(y)2 f(x−y)2 g(x) ,  x,y∈G,with the additional supposition g(x) ≠ 0 for all x∈G. In both cases G denotes an arbitrary group written additively and f,g: G→ℝ are the unknown functions.
• Object availability:
  free access
• Date:
  2007.09.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 21 (2007); 7-13;
  Annales Mathematicae Silesianae; Tom 21 (2007); 7-13;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14055/10757
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14055
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other