On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals
| dc.contributor.author | Budak, Hüseyin | |
| dc.contributor.author | Bilişik, Candan Can | |
| dc.contributor.author | Sarıkaya, Mehmet Zeki | |
| dc.date.accessioned | 2023-07-26T11:57:30Z | |
| dc.date.available | 2023-07-26T11:57:30Z | |
| dc.date.issued | 2022 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this paper, we establish some inequalities for generalized fractional integrals by utilizing the assumption that the second derivative of phi(x) = (omega) over bar (kappa(1)kappa(2)/H) is bounded. We also prove again a Hermite-Hadamard type inequality obtained in [34] under the condition phi' (kappa(1) + kappa(2) - H) >= phi' (H) instead of harmonically convexity of (omega) over bar. Moreover, some new inequalities for k-fractional integrals are given as special cases of main results. | en_US |
| dc.identifier.doi | 10.22130/scma.2022.539417.992 | |
| dc.identifier.endpage | 79 | en_US |
| dc.identifier.issn | 2423-3900 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85135809704 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 65 | en_US |
| dc.identifier.uri | https://doi.org/10.22130/scma.2022.539417.992 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/13202 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:000829504300005 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Budak, Hüseyin | |
| dc.institutionauthor | Bilişik, Özge Nalan | |
| dc.institutionauthor | Sarıkaya, Mehmet Zeki | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Maragheh | en_US |
| dc.relation.ispartof | Sahand Communications In Mathematical Analysis | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | $2023V1Guncelleme$ | en_US |
| dc.subject | Hermite-Hadamard Inequality; Convex Function; Bounded Function | en_US |
| dc.subject | Harmonically Convex-Functions; Fejer Type Inequalities; 2nd Derivatives | en_US |
| dc.title | On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals | en_US |
| dc.type | Article | en_US |
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