The complementary nabla Bennett-Leindler type inequalities

dc.contributor.authorKayar, Zeynep
dc.contributor.authorKaymakçalan, Billur
dc.contributor.authorID109448tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2024-04-29T12:17:39Z
dc.date.available2024-04-29T12:17:39Z
dc.date.issued2022-06-30
dc.description.abstractWe aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale calculus by changing the exponent from 0 < ζ < 1 to ζ > 1. Different from the literature, the directions of the new inequalities, where ζ > 1 , are the same as that of the previous nabla Bennett-Leindler type inequalities obtained for 0 < ζ < 1 . By these settings, we not only complement existing nabla Bennett-Leindler type inequalities but also generalize them by involving more exponents. The dual results for the delta approach and the special cases for the discrete and continuous ones are obtained as well. Some of our results are novel even in the special cases.tr_TR
dc.identifier.citationKayar, Zeynep; Kaymakçalan, B. (2022). "The complementary nabla Bennett-Leindler type inequalities", Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Vol.71, No.2, pp.349-376.tr_TR
dc.identifier.endpage376tr_TR
dc.identifier.issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage349tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8031
dc.identifier.volume71tr_TR
dc.language.isoengtr_TR
dc.relation.isversionofhttps://doi.org/10.31801/cfsuasmas.930138tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.rightsinfo:eu-repo/semantics/openAccesstr_TR
dc.subjectTime Scale Calculustr_TR
dc.subjectHardy's Inequalitytr_TR
dc.subjectBennett's Inequalitytr_TR
dc.subjectLeindler's Inequalitytr_TR
dc.titleThe complementary nabla Bennett-Leindler type inequalitiestr_TR
dc.typearticletr_TR

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