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On generalizations of integral inequalities
| dc.contributor.author | Bayraktar, Bahtiyar | |
| dc.contributor.author | Nápoles Valdés, Juan Eduardo | |
| dc.contributor.author | Rabossi, Florencia | |
| dc.date.accessioned | 2026-02-12T19:50:49Z | |
| dc.date.available | 2026-02-12T19:50:49Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2022. On generalizations of integral inequalities. Problemy Analiza Issues of Analysis. Petrozavodsk: Universidad Estatal de Petrozavodsk, vol. 11(29), no. 2, p. 3-23. E-ISSN 2306-3424. | es |
| dc.identifier.uri | http://repositorio.unne.edu.ar/handle/123456789/60046 | |
| dc.description.abstract | In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities. | es |
| dc.format | application/pdf | es |
| dc.format.extent | p. 3-23 | es |
| dc.language.iso | eng | es |
| dc.publisher | Universidad Estatal de Petrozavodsk | es |
| dc.relation.uri | https://doi.org/10.15393/j3.art.2022.11190 | es |
| dc.relation.uri | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11190&lang=en | es |
| dc.rights | openAccess | es |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | es |
| dc.source | Problemy Analiza Issues of Analysis, 2022, vol. 11(29). No. 2, p. 3-23. | es |
| dc.subject | Convex function | es |
| dc.subject | Hermite–Hadamard inequality | es |
| dc.subject | Simpson-type inequality | es |
| dc.subject | Lipschitz conditions | es |
| dc.subject | Lagrange theorem | es |
| dc.subject | Riemann–Liouville fractional integral | es |
| dc.title | On generalizations of integral inequalities | es |
| dc.type | Artículo | es |
| unne.affiliation | Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia. | es |
| unne.affiliation | Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina. | es |
| unne.affiliation | Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina. | es |
| unne.affiliation | Fil: Rabossi, Florencia. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina. | es |
| unne.journal.pais | Rusia | es |
| unne.journal.ciudad | Petrozavodsk | es |
| unne.journal.volume | 11(29) | es |
| unne.journal.number | 2 | es |
| unne.ISSN-e | 2306-3424 | es |
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