Some inequalities for conformable fractional integrals by using a parameter
| dc.contributor.author | Hezenci, Fatih | |
| dc.contributor.author | Budak, Hüseyin | |
| dc.contributor.author | Kara, Hasan | |
| dc.date.accessioned | 2026-07-01T11:36:26Z | |
| dc.date.available | 2026-07-01T11:36:26Z | |
| dc.date.issued | 2025 | |
| dc.department | Düzce Üniversitesi | |
| dc.description.abstract | In this chapter, we particularly focus on the inequalities for Riemann-Liouville fractional integrals and conformable fractional integrals. We first present the known Hermite-Hadamard inequalities for these integrals and the corresponding midpoint-and trapezoid-type inequalities. We also mention Ostrowski-type inequalities for Riemann-Liouville fractional integrals and conformable fractional integrals. Moreover, we demonstrate the validity of a parameterized equality for differentiable functions with respect to conformable fractional integrals. Several parameterized inequalities for convex functions are proved by using conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski, Hermite-Hadamard, Simpson, and Bullen-type inequalities. Finally, examples are presented to illustrate the obtained results. © 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. | |
| dc.identifier.doi | 10.1016/B978-0-44-323952-6.00017-1 | |
| dc.identifier.endpage | 178 | |
| dc.identifier.isbn | 978-044323952-6 | |
| dc.identifier.isbn | 978-044323953-3 | |
| dc.identifier.scopus | 2-s2.0-105019749620 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 159 | |
| dc.identifier.uri | https://doi.org/10.1016/B978-0-44-323952-6.00017-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/23026 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Recent Developments in Theory and Applications of Fractional Order Systems | |
| dc.relation.publicationcategory | Kitap Bölümü - Uluslararası | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20260623 | |
| dc.subject | Bullen-type inequality | |
| dc.subject | Convex function | |
| dc.subject | Fractional calculus | |
| dc.subject | Fractional conformable integrals | |
| dc.subject | Hermite-Hadamard-type inequality | |
| dc.subject | Ostrowski-type inequality | |
| dc.subject | Simpson-type inequality | |
| dc.title | Some inequalities for conformable fractional integrals by using a parameter | |
| dc.type | Book Part |
