Diamond Alpha Hardy-Copson Type Dynamic Inequalities
| dc.contributor.author | Kaymakcalan, Billur | |
| dc.contributor.author | Kayar, Zeynep | |
| dc.date.accessioned | 2024-03-06T12:21:54Z | |
| dc.date.accessioned | 2025-09-18T12:49:34Z | |
| dc.date.available | 2024-03-06T12:21:54Z | |
| dc.date.available | 2025-09-18T12:49:34Z | |
| dc.date.issued | 2022 | |
| dc.description | Kayar, Zeynep/0000-0002-8309-7930 | en_US |
| dc.description.abstract | In this paper two kinds of dynamic Hardy-Copson type inequalities are derived via diamond alpha integrals. The first kind consists of twelve new integral inequalities which can be considered as mixed type in the sense that these inequalities contain delta, nabla and diamond alpha integrals together. The second kind involves another twelve new inequalities, which are composed of only diamond alpha integrals, unifying delta and nabla Hardy-Copson type inequalities. Our approach is quite new due to the fact that it uses time scale calculus rather than algebra. Therefore both kinds of our results unify some of the known delta and nabla Hardy-Copson type inequalities into one diamond alpha Hardy-Copson type inequalities and offer new Hardy-Copson type inequalities even for the special cases. | en_US |
| dc.identifier.citation | Kayar, Z.; Kaymakçalan, B. (2022). "Diamond alpha Hardy-Copson type dynamic inequalities", Hacettepe Journal of Mathematics and Statistics, Vol.51, No.1, pp.48-73. | en_US |
| dc.identifier.doi | 10.15672/hujms.928390 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.scopus | 2-s2.0-85123467403 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.928390 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12408 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe Univ, Fac Sci | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Diamond Alpha Calculus | en_US |
| dc.subject | Hardy'S Inequality | en_US |
| dc.subject | Copson'S Inequality | en_US |
| dc.title | Diamond Alpha Hardy-Copson Type Dynamic Inequalities | en_US |
| dc.title | Diamond alpha Hardy-Copson type dynamic inequalities | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kayar, Zeynep/0000-0002-8309-7930 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kayar, Zeynep] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkey; [Kaymakcalan, Billur] Cankaya Univ, Dept Math, TR-06810 Ankara, Turkey | en_US |
| gdc.description.endpage | 73 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 48 | en_US |
| gdc.description.volume | 51 | en_US |
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| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Diamond alpha calculus;Hardy’s inequality;Copson’s inequality | |
| gdc.oaire.keywords | Mathematical Sciences | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Copson's inequality | |
| gdc.oaire.keywords | Real analysis on time scales or measure chains | |
| gdc.oaire.keywords | Inequalities involving derivatives and differential and integral operators | |
| gdc.oaire.keywords | Hardy's inequality | |
| gdc.oaire.keywords | diamond alpha calculus | |
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| gdc.virtual.author | Kaymakçalan, Billur | |
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