NEW EXTENSIONS VERSION OF HERMITE-HADAMARD TYPE INEQUALITIES BY MEANS OF CONFORMABLE FRACTIONAL INTEGRALS
| dc.contributor.author | Bas, Umut | |
| dc.contributor.author | Budak, Huseyin | |
| dc.contributor.author | Kara, Hasan | |
| dc.date.accessioned | 2025-10-11T20:47:58Z | |
| dc.date.available | 2025-10-11T20:47:58Z | |
| dc.date.issued | 2024 | |
| dc.department | Düzce Üniversitesi | en_US |
| dc.description.abstract | In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples. Moreover, we use graphs to demonstrate the correctness of the given examples. What's more, we prove the Hermite-Hadamard inequality, which includes conformable fractional integrals, with the aid of condition f ' (a + b t) f ' (t) >= 0, t is an element of a, a+b than the convexity of function. | en_US |
| dc.identifier.doi | 10.18514/MMN.2024.4506 | |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85212296538 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2024.4506 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/21668 | |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.wos | WOS:001402251100006 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Miskolc Inst Math | en_US |
| dc.relation.ispartof | Miskolc Mathematical Notes | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.snmz | KA_WOS_20250911 | |
| dc.subject | Hermite-Hadamard inequality | en_US |
| dc.subject | conformable fractional integrals | en_US |
| dc.subject | bounded functions | en_US |
| dc.title | NEW EXTENSIONS VERSION OF HERMITE-HADAMARD TYPE INEQUALITIES BY MEANS OF CONFORMABLE FRACTIONAL INTEGRALS | en_US |
| dc.type | Article | en_US |












