Yayın: Inequalities of the 3/8-simpson type for differentiable functions via generalized fractional operators
| dc.contributor.author | Bayraktar, B. | |
| dc.contributor.author | Gömez, L. | |
| dc.contributor.author | Napoles, J. E. | |
| dc.contributor.buuauthor | BAYRAKTAR, BAHTİYAR | |
| dc.contributor.department | Eğitim Fakültesi | |
| dc.contributor.researcherid | ABI-7823-2020 | |
| dc.date.accessioned | 2025-10-21T09:18:57Z | |
| dc.date.issued | 2025-01-01 | |
| dc.description.abstract | Simpson-type inequalities are an important tool in mathematical analysis, particularly in the study of integrals. In this paper, we present new generalized 3/8-Simpson-type inequalities for functions whose first derivative modulus is (h, m)-convex and satisfies the Lipschitz condition via weight integral operators. To obtain these results, we use a new integral identity established in our study. This research generalizes, extends, and complements the results in the literature. | |
| dc.identifier.doi | 10.15393/j3.art.2025.17330 | |
| dc.identifier.endpage | 52 | |
| dc.identifier.issn | 2306-3424 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-105008784197 | |
| dc.identifier.startpage | 25 | |
| dc.identifier.uri | https://doi.org/10.15393/j3.art.2025.17330 | |
| dc.identifier.uri | https://hdl.handle.net/11452/55958 | |
| dc.identifier.volume | 14 | |
| dc.identifier.wos | 001513110100002 | |
| dc.indexed.wos | WOS.ESCI | |
| dc.language.iso | en | |
| dc.publisher | Petrozavodsk state univ | |
| dc.relation.journal | Problemy analiza-issues of analysis | |
| dc.subject | Simpson-like inequalities | |
| dc.subject | Integral-inequalities | |
| dc.subject | Convex-functions | |
| dc.subject | S-convex | |
| dc.subject | Derivatives | |
| dc.subject | Convex function | |
| dc.subject | Simpson-type inequality | |
| dc.subject | Weighted integral operator | |
| dc.subject | Holder inequality | |
| dc.subject | Power mean inequality | |
| dc.subject | Young inequality | |
| dc.subject | Lipschitz function | |
| dc.subject | Science & Technology | |
| dc.subject | Physical Sciences | |
| dc.subject | Mathematics | |
| dc.title | Inequalities of the 3/8-simpson type for differentiable functions via generalized fractional operators | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.contributor.department | Eğitim Fakültesi | |
| local.indexed.at | WOS | |
| local.indexed.at | Scopus | |
| relation.isAuthorOfPublication | 4d1a94ce-504e-499e-91e8-689abbf37041 | |
| relation.isAuthorOfPublication.latestForDiscovery | 4d1a94ce-504e-499e-91e8-689abbf37041 |
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