Description

• Title:
  On approximately continuous integrals (a survey)
• Creator:
  Skvortsov, Valentin A.;
  Sworowska, Tatiana;
  Sworowski, Piotr
• Contributor:
  Filipczak, Małgorzata;
  Wagner-Bojakowska, Elżbieta;
  Casimirus the Great University, Institute of Mathematics;
  Central European Journal of Mathematics;
  vaskvor2000@yahoo.com;
  tsworowska@versita.com;
  piotrus@ukw.edu.pl
• Description:
  The origin of the notion of approximate derivative and, in turn, approximate continuity is closely related with integration theory. The purpose of this chapter is to recollect the lines of development of the theory of generalized integration in connection with approximate continuity. Among the results surveyed, some recent results of the authors are mentioned.;
  Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00.
• Object availability:
  free access
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0 ;
  Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe
• Date:
  2019.05.21;
  2013
• Type:
  Book chapter
• Language:
  English
• Format:
  application/pdf;
  image/jpeg
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Filipczak M., Wagner-Bojakowska E. (red.), Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013;
• Subject:
  26A15;
  26A24;
  26A36;
  26A39;
  26A42;
  26A45;
  26A46;
  42A10;
  approximately continuous function;
  approximate derivative;
  approximate Kurzweil–Henstock integral;
  Lusin-type integral;
  Burkill’s AP-integral;
  variational measure;
  differential basis;
  trigonometric series;
  approximate symmetric integral
• Identifier:
  Skvortsov V. A., Sworowska T., Sworowski P., On approximately continuous integrals (a survey), [w:] Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Filipczak M., Wagner-Bojakowska E. (red.), Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 233-252, doi: 10.18778/7525-971-1.15;
  978-83-7525-971-1;
  http://hdl.handle.net/11089/28353 ;
  10.18778/7525-971-1.15
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  text