Opis

• Title:
  Perturbations de fonctions additives
• Creator:
  Simon, Alice;
  Volkmann, Peter
• Description:
  Let α ≥ 0, α ≠ 1 and f: [0,∞[→ℝ be such that f(x+y) = f(x)+f(y)+o(max{xα,yα}) as max{x,y}↓0. We show that f(x) = a(x)+o(xα), where a is an additive function, and we use this result in studying a second order generalized derivative for real functions.
• Object availability:
  Dostęp otwarty
• Date:
  1997.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Annales Mathematicae Silesianae; Vol 11 (1997); 21-27;
  Annales Mathematicae Silesianae; Tom 11 (1997); 21-27;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14180/10907
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14180
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe