Hermite-Hadamard-Mercer and related inequalities for h-convex functions via ψ-Hilfer operators
| dc.contributor.author | Azzouz, Noureddine | |
| dc.contributor.author | Benaissa, Bouharket | |
| dc.contributor.author | Budak, Huseyin | |
| dc.contributor.author | Hezenci, Fatih | |
| dc.date.accessioned | 2026-07-01T11:39:28Z | |
| dc.date.available | 2026-07-01T11:39:28Z | |
| dc.date.issued | 2026 | |
| dc.department | Düzce Üniversitesi | |
| dc.description.abstract | We prove a fractional Hermite-Hadamard-Mercer inequality via psi-Hilfer integral operators for the class of h-convex functions, where h is a B-function. Some novel fractional inequalities related to the left and right sides of the Hermite-Hadamard-Mercer inequalities are established for differentiable mappings whose absolute values of the derivatives are h-convex. Moreover, we construct new inequalities for these differentiable functions using Holder's inequality. | |
| dc.identifier.doi | 10.2298/FIL2606991A | |
| dc.identifier.endpage | 2010 | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 6 | |
| dc.identifier.orcid | 0000-0001-8843-955X | |
| dc.identifier.scopus | 2-s2.0-105034051753 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1991 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL2606991A | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/23304 | |
| dc.identifier.volume | 40 | |
| dc.identifier.wos | WOS:001718786600001 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Univ Nis, Fac Sci Math | |
| dc.relation.ispartof | Filomat | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20260623 | |
| dc.subject | [Keyword Not Available] | |
| dc.title | Hermite-Hadamard-Mercer and related inequalities for h-convex functions via ψ-Hilfer operators | |
| dc.type | Article |












