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Hardy-type inequalities in fractional h-discrete calculus

dc.contributor.authorPersson, Lars Erik
dc.contributor.authorOinarov, Ryskul
dc.contributor.authorShaimardan, Serikbol
dc.date.accessioned2019-03-05T13:50:36Z
dc.date.available2019-03-05T13:50:36Z
dc.date.issued2018-04-04
dc.description.abstractThe first power weighted version of Hardy’s inequality can be rewritten as [<i>mathematical formula</i>] where the constant <i>C</i> =[<i>p</i> / <i>p</i> - <i><b>a</b></i> - 1]<sup><i>p</i></sup> is sharp. This inequality holds in the reversed direction when<math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>0</mn> <mo>&#x2264;<!-- ≤ --></mo> <mi><i>p</i></mi> <mo>&lt;</mo> <mn>1</mn> </math>. In this paper we prove and discuss some discrete analogues of Hardy-type inequalities in fractional h-discrete calculus. Moreover, we prove that the corresponding constants are sharp. Keywordsen_US
dc.description.sponsorshipScientific Committee of Ministry of Education Science of the Republic of Kazakhstanen_US
dc.descriptionSource at <a href=https://doi.org/10.1186/s13660-018-1662-6> https://doi.org/10.1186/s13660-018-1662-6</a>. Licensed <a href=http://creativecommons.org/licenses/by-nc-nd/4.0/> CC BY-NC-ND 4.0.</a>en_US
dc.identifier.citationPersson, L.E., Oinarov, R. & Shaimardan, S. (2018). Hardy-type inequalities in fractional h-discrete calculus. <i>Journal of Inequalities and Applications, 73</i>. https://doi.org/10.1186/s13660-018-1662-6en_US
dc.identifier.cristinIDFRIDAID 1626053
dc.identifier.doi10.1186/s13660-018-1662-6
dc.identifier.issn1025-5834
dc.identifier.issn1029-242X
dc.identifier.urihttps://hdl.handle.net/10037/14852
dc.language.isoengen_US
dc.publisherSpringerOpenen_US
dc.relation.journalJournal of Inequalities and Applications
dc.relation.urihttps://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-018-1662-6
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleHardy-type inequalities in fractional h-discrete calculusen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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