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Eurasian Mathematical Journal, 2016, Volume 7, Number 1, Pages 84–99 (Mi emj218)  
This article is cited in 4 scientific papers (total in 4 papers)

Hardy-type inequalities for the fractional integral operator in $q$-analysis

S. Shaimardan

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpayev St, 010000 Astana, Kazakhstan
Full-text PDF (394 kB) Citations (4)
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Abstract: We obtain necessary and sufficient conditions for the validity of a certian Hardy-type inequality involving $q$-integrals.
Keywords and phrases: Hardy-type inequalities, integral operator, $q$-analysis, $q$-integral.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 5495/GF4
Russian Foundation for Basic Research 16-31-50042_мол_нр
This work was supported by Scientific Committee of Ministry of Education and Science of the Republic of Kazakhstan, grant no. 5495/GF4. It was also supported by the Russian Sientific Foundation (project RFFI 16-31-50042).
Received: 20.11.2015
Bibliographic databases:
Document Type: Article
MSC: 26D10, 26D15, 33D05, 39A13
Language: English
Citation: S. Shaimardan, “Hardy-type inequalities for the fractional integral operator in $q$-analysis”, Eurasian Math. J., 7:1 (2016), 84–99
Citation in format AMSBIB
\Bibitem{Sha16}
\by S.~Shaimardan
\paper Hardy-type inequalities for the fractional integral operator in $q$-analysis
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 1
\pages 84--99
\mathnet{http://mi.mathnet.ru/emj218}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000380176800006}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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