New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications
| dc.contributor.author | Sekin, Çağla | |
| dc.contributor.author | Tamar, Mehmet Emin | |
| dc.contributor.author | Aliyev, İlham A. | |
| dc.contributor.authorID | 0000-0001-8933-8769 | en_US |
| dc.contributor.department | AGÜ | en_US |
| dc.contributor.institutionauthor | Tamar, Mehmet Emin | |
| dc.date.accessioned | 2024-02-22T16:53:22Z | |
| dc.date.available | 2024-02-22T16:53:22Z | |
| dc.date.issued | 2023 | en_US |
| dc.description.abstract | New proofs of the classical Fejer inequality and discrete HermiteHadamard 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, ∞) → (0, ∞) is established | en_US |
| dc.identifier.endpage | 1125 | en_US |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issn | 2618-6470 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 1110 | en_US |
| dc.identifier.uri | http://doi.org/10.31801/cfsuasmas.1262668 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/1957 | |
| dc.identifier.volume | 72 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Ankara Üniv. Fen Fakültesi | en_US |
| dc.relation.isversionof | 10.31801/cfsuasmas.1262668 | en_US |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | 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 |