Some Extended Nabla and Delta Hardy-Copson Type Inequalities With Applications in Oscillation Theory
| dc.contributor.author | Kaymakcalan, Billur | |
| dc.contributor.author | Kayar, Zeynep | |
| dc.date.accessioned | 2023-01-12T06:48:44Z | |
| dc.date.accessioned | 2025-09-18T14:10:06Z | |
| dc.date.available | 2023-01-12T06:48:44Z | |
| dc.date.available | 2025-09-18T14:10:06Z | |
| dc.date.issued | 2022 | |
| dc.description | Kayar, Zeynep/0000-0002-8309-7930 | en_US |
| dc.description.abstract | We extend classical nabla and delta Hardy-Copson type inequalities from zeta > 1 to 0 < zeta < 1 and also use these novel inequalities to find necessary and sufficient condition for the nonoscillation of the related half linear dynamic equations. Since ordinary differential equations and difference equations are special cases of dynamic equations, our results cover these equations as well. Moreover, the obtained inequalities are not only novel but also unify the continuous and discrete cases for which the case 0 < zeta < 1 has not been considered so far. | en_US |
| dc.identifier.citation | Kayar, Zeynep; Kaymakçalan, Billur (2022). "Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory", BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, Vol. 48, No. 5, pp. 2407-2439. | en_US |
| dc.identifier.doi | 10.1007/s41980-021-00651-2 | |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.issn | 1735-8515 | |
| dc.identifier.scopus | 2-s2.0-85117606585 | |
| dc.identifier.uri | https://doi.org/10.1007/s41980-021-00651-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13569 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Singapore Pte Ltd | en_US |
| dc.relation.ispartof | Bulletin of the Iranian Mathematical Society | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Time Scale Calculus | en_US |
| dc.subject | Hardy'S Inequality | en_US |
| dc.subject | Copson'S Inequality | en_US |
| dc.subject | Oscillation Of Half Linear Dynamic Equations | en_US |
| dc.title | Some Extended Nabla and Delta Hardy-Copson Type Inequalities With Applications in Oscillation Theory | en_US |
| dc.title | Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory | 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 | 2439 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2407 | en_US |
| gdc.description.volume | 48 | en_US |
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| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Copson's inequality | |
| gdc.oaire.keywords | time scale calculus | |
| gdc.oaire.keywords | oscillation of half linear dynamic equations | |
| gdc.oaire.keywords | Inequalities involving derivatives and differential and integral operators | |
| gdc.oaire.keywords | Hardy's inequality | |
| gdc.oaire.keywords | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations | |
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| gdc.virtual.author | Kaymakçalan, Billur | |
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