Description

• Title:
  On the Cauchy equation on spheres
• Creator:
  Ger, Roman;
  Sikorska, Justyna
• Description:
  We deal with a conditional functional equationϕ(x) = ϕ(y)  implies  f(x+y) = f(x)+f(y).Under some assumptions imposed on function ϕ, the domains and ranges of ϕ and f we derive the additivity of f. As a consequence we obtain two Hyers-Ulam stability results related to the equation considered.
• Object availability:
  free access
• Date:
  1997.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 11 (1997); 89-99;
  Annales Mathematicae Silesianae; Tom 11 (1997); 89-99;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14186/10914
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14186
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other