q-Hardy type inequalities for quantum integrals
| dc.contributor.author | Alp, Necmettin | |
| dc.contributor.author | Sarikaya, Mehmet Zeki | |
| dc.date.accessioned | 2021-12-01T18:47:17Z | |
| dc.date.available | 2021-12-01T18:47:17Z | |
| dc.date.issued | 2021 | |
| dc.department | [Belirlenecek] | en_US |
| dc.description.abstract | The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable results in the literature on inequalities. Additionally, by taking the limit q -> 1(-), our results give classical results on the Hardy inequality. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03514-6 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85111537787 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03514-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/10219 | |
| dc.identifier.volume | 2021 | en_US |
| dc.identifier.wos | WOS:000681386300004 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances In Difference Equations | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hardy inequality | en_US |
| dc.subject | Opial inequality | en_US |
| dc.subject | Holder's inequality | en_US |
| dc.subject | Convex-Functions | en_US |
| dc.title | q-Hardy type inequalities for quantum integrals | en_US |
| dc.type | Article | en_US |
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