New Proofs of Fejer's and Discrete Hermite-Hadamard Inequalities With Applications
| dc.contributor.author | Sekin, Cagla | |
| dc.contributor.author | Tamar, Mehmet Emin | |
| dc.contributor.author | Aliyev, Ilham A. | |
| dc.date.accessioned | 2025-09-25T10:53:12Z | |
| dc.date.available | 2025-09-25T10:53:12Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | New proofs of the classical Fejer inequality and discrete Hermite-Hadamard inequality (HH) are presented and several applications are given, including (HH)-type inequalities for the functions, whose derivatives have inflection points. Morever, some estimates from below and above for the first moments of functions f : [a, b] -> R about the midpoint c = (a+b)/2 are obtained and the reverse Hardy inequality for convex functions f : (0, infinity) -> (0, infinity) is established. | en_US |
| dc.identifier.doi | 10.31801/cfsuasmas.1262668 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.1262668 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/en/yayin/detay/1212479/new-proofs-of-fejers-and-discrete-hermite-hadamard-inequalities-with-applications | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/4281 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ankara Univ, Fac Sci | en_US |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fejer Inequality | en_US |
| dc.subject | Convex Functions | en_US |
| dc.subject | Discrete Hermite-Hadamard Inequality | en_US |
| dc.subject | Jensen Inequality | en_US |
| dc.subject | Hardy Inequality | en_US |
| dc.title | New Proofs of Fejer's and Discrete Hermite-Hadamard Inequalities With Applications | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Sekin, Cagla; Aliyev, Ilham A.] Akdeniz Univ, Dept Math, Antalya, Turkiye; [Tamar, Mehmet Emin] Abdullah Gul Univ, Dept Math, Kayseri, Turkiye | en_US |
| gdc.description.endpage | 1125 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.startpage | 1110 | en_US |
| gdc.description.volume | 72 | en_US |
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| gdc.oaire.keywords | Fejer inequality | |
| gdc.oaire.keywords | convex functions | |
| gdc.oaire.keywords | discrete Hermite-Hadamard inequality | |
| gdc.oaire.keywords | Hardy inequality | |
| gdc.oaire.keywords | Jensen inequality | |
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| gdc.virtual.author | Tamar, Mehmet Emin | |
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