A Class of Fractal Hilbert-Type Inequalities Obtained Via Cantor-Type Spherical Coordinates
| dc.contributor.author | Krnic, Mario | |
| dc.contributor.author | Vukovic, Predrag | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2022-02-11T11:51:30Z | |
| dc.date.accessioned | 2025-09-18T16:07:32Z | |
| dc.date.available | 2022-02-11T11:51:30Z | |
| dc.date.available | 2025-09-18T16:07:32Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We present a class of higher dimensional Hilbert-type inequalities on a fractal set (Double-struck capital R+alpha n)k. The crucial step in establishing our results are higher dimensional spherical coordinates on a fractal space. Further, we impose the corresponding conditions under which the constants appearing in the established Hilbert-type inequalities are the best possible. As an application, our results are compared with the previous results known from the literature. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Krnic, Mario; Vukovic, Predrag (2021). "A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 6195-6208. | en_US |
| dc.identifier.doi | 10.1002/mma.7180 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85100813330 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7180 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14789 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cantor‐ | en_US |
| dc.subject | Type Spherical Coordinates | en_US |
| dc.subject | Fractal Set | en_US |
| dc.subject | Local Fractional Integral | en_US |
| dc.subject | The Best Possible Constant | en_US |
| dc.subject | The Hilbert Inequality | en_US |
| dc.title | A Class of Fractal Hilbert-Type Inequalities Obtained Via Cantor-Type Spherical Coordinates | en_US |
| dc.title | A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math Comp Sci, Ankara, Turkey; [Krnic, Mario] Univ Zagreb, Fac Elect Engn & Comp, Zagreb, Croatia; [Vukovic, Predrag] Univ Zagreb, Fac Teacher Educ, Savska Cesta 77, Zagreb 10000, Croatia | en_US |
| gdc.description.endpage | 6208 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 6195 | en_US |
| gdc.description.volume | 44 | en_US |
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| gdc.oaire.keywords | local fractional integral | |
| gdc.oaire.keywords | the Hilbert inequality, fractal set, local fractional integral, Cantor-type spherical coordinates, the best possible constant | |
| gdc.oaire.keywords | the Hilbert inequality | |
| gdc.oaire.keywords | the best possible constant | |
| gdc.oaire.keywords | fractal set | |
| gdc.oaire.keywords | Cantor-type spherical coordinates | |
| gdc.oaire.keywords | best possible constant | |
| gdc.oaire.keywords | Inequalities for sums, series and integrals | |
| gdc.oaire.keywords | Inequalities involving derivatives and differential and integral operators | |
| gdc.oaire.keywords | Hilbert inequality | |
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