Description

• Title:
  On a functional equation connected to Gauss quadrature rule
• Creator:
  Koclęga-Kulpa, Barbara;
  Szostok, Tomasz
• Description:
  We consider the functional equationF(y)−F(x) = (y−x)[f(αx+βy)+f(βx+αy)]stemming from Gauss quadrature rule. In previous results equations of this type with rational only coefficients α and β were considered. In this paper we allow these numbers to be irrational. We find all solutions of this equation for functions acting on ℝ. However, some results are valid also on integral domains.
• Object availability:
  free access
• Date:
  2008.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 22 (2008); 27-40;
  Annales Mathematicae Silesianae; Tom 22 (2008); 27-40;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14049/10751
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14049
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other