New characterization of weighted inequalities involving superposition of Hardy integral operators

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dc.authoridGogatishvili, Amiran/0000-0003-3459-0355
dc.authoridUnver Yildiz, Tugce/0000-0003-0414-8400
dc.contributor.authorGogatishvili, Amiran
dc.contributor.authorUnver, Tugce
dc.date.accessioned2025-01-21T16:42:50Z
dc.date.available2025-01-21T16:42:50Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractLet 1 <= p < infinity and 0 < q, r < infinity. We characterize the validity of the inequality for the composition of the Hardy operator, (integral(b)(a) (integral(x )(a)(integral(t )(a)f(s)ds)(q )u(t)dt)(r/q )w(x)dx)(1/r)<= C(integral(b )(a)f(x)(p)v(x)dx)(1/p) for all non-negative measurable functions f on (a,b), -infinity <= a < b <=infinity. We construct a more straightforward discretization method than those previously presented in the literature, and we provide some new scales of weight characterizations of this inequality in both discrete and continuous forms and we obtain previous characterizations as the special case of the parameter.
dc.description.sponsorshipCzech Science Foundation (GACR) [23-04720S]; Shota Rustaveli National Science Foundation (SRNSF) [FR21-12353]; Ministry of Education and Science of the Republic of Kazakhstan [AP14869887]; Scientific and Technological Research Council of Turkey (TUBITAK) [1059B192000075]; [RVO:67985840]
dc.description.sponsorshipSupported by the grant project 23-04720S of the Czech Science Foundation (GACR); The Institute of Mathematics, CAS is supported by RVO:67985840, by Shota Rustaveli National Science Foundation (SRNSF), grant no: FR21-12353; by the grant Ministry of Education and Science of the Republic of Kazakhstan (project no. AP14869887); the grant of The Scientific and Technological Research Council of Turkey (TUBITAK), Grant No: 1059B192000075
dc.identifier.doi10.1002/mana.202400007
dc.identifier.endpage3409
dc.identifier.issn0025-584X
dc.identifier.issn1522-2616
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85197306406
dc.identifier.scopusqualityQ2
dc.identifier.startpage3381
dc.identifier.urihttps://doi.org/10.1002/mana.202400007
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25149
dc.identifier.volume297
dc.identifier.wosWOS:001256535400001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley-V C H Verlag Gmbh
dc.relation.ispartofMathematische Nachrichten
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectCopson operator; Hardy operator; inequalities for monotone functions; iterated operators; weighted Hardy inequality
dc.titleNew characterization of weighted inequalities involving superposition of Hardy integral operators
dc.typeArticle

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