The sharper version for generalized power mean inequalities with negative exponent
| dc.contributor.author | Tinaztepe, Ramazan | |
| dc.contributor.author | Tinaztepe, Gültekin | |
| dc.contributor.author | Eken, Zeynep | |
| dc.contributor.author | Sezer, Sevda | |
| dc.contributor.author | Kemali, Serap | |
| dc.contributor.author | Yeşilce Işık, İlknur | |
| dc.contributor.author | Sezer Evcan, Sinem | |
| dc.date.accessioned | 2023-10-12T10:50:39Z | |
| dc.date.available | 2023-10-12T10:50:39Z | |
| dc.date.issued | 2023 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | In this study, the generalized power mean inequalities with a negative parameter are refined using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a refinement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these local inequalities are generalized to all positive vectors by an appropriate selection of parameters. Also, some of the results are exemplified by numerical calculations. | |
| dc.identifier.doi | 10.7153/jmi-2023-17-07 | |
| dc.identifier.endpage | 111 | en_US |
| dc.identifier.issn | 1846-579X | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 99 | en_US |
| dc.identifier.uri | https:/dx.doi.org10.7153/jmi-2023-17-07 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/11152 | |
| dc.identifier.volume | 17 | en_US |
| dc.identifier.wos | WOS:000958348000001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Element D.O.O. | |
| dc.relation.ispartof | Journal of Mathematical Inequalities | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Abstract Convexity | |
| dc.subject | Functional Inequalities | |
| dc.subject | Generalized Power Mean | |
| dc.subject | Global Optimization | |
| dc.title | The sharper version for generalized power mean inequalities with negative exponent | |
| dc.type | Article |
