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dc.contributor.authorAkishev, G.en
dc.contributor.authorLukkassen, D.en
dc.contributor.authorPersson, L. E.en
dc.date.accessioned2020-09-29T09:47:34Z-
dc.date.available2020-09-29T09:47:34Z-
dc.date.issued2020-
dc.identifier.citationAkishev, G. Some new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spaces / G. Akishev, D. Lukkassen, L. E. Persson. — DOI 10.1186/s13660-020-02344-6 // Journal of Inequalities and Applications. — 2020. — Vol. 1. — Iss. 2020. — 77.en
dc.identifier.issn1025-5834-
dc.identifier.otherhttps://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-020-02344-6pdf
dc.identifier.other1good_DOI
dc.identifier.othere267143f-93b2-4b29-b059-78bf6363f94bpure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85082323031m
dc.identifier.urihttp://elar.urfu.ru/handle/10995/90493-
dc.description.abstractIn this paper we prove some essential complements of the paper (J. Inequal. Appl. 2019:171, 2019) on the same theme. We prove some new Fourier inequalities in the case of the Lorentz–Zygmund function spaces Lq , r(log L) α involved and in the case with an unbounded orthonormal system. More exactly, in this paper we prove and discuss some new Fourier inequalities of this type for the limit case L2 , r(log L) α, which could not be proved with the techniques used in the paper (J. Inequal. Appl. 2019:171, 2019). © 2020, The Author(s).en
dc.description.sponsorshipThe first author is grateful for the support of this work given by the Russian Academic Excellence Project (agreement no. 02.A03.21.0006 of August 27, 2013, between the Ministry of Education and Science of the Russian Federation and Ural Federal University). We thank the referees for some good suggestions, which have improved this final version of our paper.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherSpringeren
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.rightscc-byother
dc.sourceJournal of Inequalities and Applicationsen
dc.subjectFOURIER COEFFICIENTSen
dc.subjectFOURIER SERIESen
dc.subjectINEQUALITIESen
dc.subjectLORENTZ–ZYGMUND SPACESen
dc.subjectUNBOUNDED ORTHOGONAL SYSTEMSen
dc.titleSome new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spacesen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1186/s13660-020-02344-6-
dc.identifier.scopus85082323031-
local.affiliationDepartment of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstanen
local.affiliationInstitute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, Russian Federationen
local.affiliationDepartment of Computer Science and Computational Engineering, Campus Narvik, The Arctic University of Norway, Narvik, Norwayen
local.affiliationDepartment of Mathematics and Computer Science, Karlstad University of Sweden, Karlstad, Swedenen
local.contributor.employeeAkishev, G., Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan, Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, Russian Federationru
local.contributor.employeeLukkassen, D., Department of Computer Science and Computational Engineering, Campus Narvik, The Arctic University of Norway, Narvik, Norwayru
local.contributor.employeePersson, L.E., Department of Computer Science and Computational Engineering, Campus Narvik, The Arctic University of Norway, Narvik, Norway, Department of Mathematics and Computer Science, Karlstad University of Sweden, Karlstad, Swedenru
local.issue2020-
local.volume1-
dc.identifier.wos000520832200001-
local.identifier.pure12436462-
local.description.order77-
local.identifier.eid2-s2.0-85082323031-
local.identifier.wosWOS:000520832200001-
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