Processing math: 100%
Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 4, Pages 43–58
DOI: https://doi.org/10.4213/faa3974 (Mi faa3974) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Approximations of the Images and Integral Funnels of the Lp Balls under a Urysohn-Type Integral Operator

A. Huseyina, N. Huseyinb, Kh. G. Guseinovc

a Cumhuriyet University, Faculty of Science, Department of Statistics and Computer Sciences
b Cumhuriyet University, Faculty of Education, Department of Mathematics and Science Education
c Eskisehir Technical University, Faculty of Science, Department of Mathematics
Full-text PDF (642 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3974
Abstract: Approximations of the image and integral funnel of a closed ball of the space Lp, p>1, under a Urysohn-type integral operator are considered. A closed ball of the space Lp, p>1, is replaced by a set consisting of a finite number of piecewise constant functions, and it is proved that, for appropriate discretization parameters, the images of these piecewise constant functions form an internal approximation of the image of the closed ball. This result is applied to approximate the integral funnel of a closed ball of the space Lp, p>1, under a Urysohn-type integral operator by a set consisting of a finite number of points.
Keywords: Urysohn integral operator, image of Lp ball, integral funnel, approximation, input-output system.
Received: 26.12.2021
Revised: 02.06.2022
Accepted: 10.06.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 4, Pages 269–281
DOI: https://doi.org/10.1134/S0016266322040050
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. Huseyin, N. Huseyin, Kh. G. Guseinov, “Approximations of the Images and Integral Funnels of the Lp Balls under a Urysohn-Type Integral Operator”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 43–58; Funct. Anal. Appl., 56:4 (2022), 269–281
Citation in format AMSBIB
\Bibitem{HusHusGus22}
\by A.~Huseyin, N.~Huseyin, Kh.~G.~Guseinov
\paper Approximations of the Images and Integral Funnels of the $L_p$ Balls under a Urysohn-Type Integral Operator
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 4
\pages 43--58
\mathnet{http://mi.mathnet.ru/faa3974}
\crossref{https://doi.org/10.4213/faa3974}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 4
\pages 269--281
\crossref{https://doi.org/10.1134/S0016266322040050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85142366967}
Linking options:
  • https://www.mathnet.ru/eng/faa3974
  • https://doi.org/10.4213/faa3974
  • https://www.mathnet.ru/eng/faa/v56/i4/p43
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:293
    Full-text PDF :32
    References:85
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025