On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional Integrals
| dc.contributor.author | Yıldırım, Seda Kılınç | |
| dc.contributor.author | Budak, Hüseyin | |
| dc.contributor.author | Yıldırım, Hüseyin | |
| dc.date.accessioned | 2025-03-24T19:50:36Z | |
| dc.date.available | 2025-03-24T19:50:36Z | |
| dc.date.issued | 2021 | |
| dc.department | Düzce Üniversitesi | |
| dc.description.abstract | In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable $\left( \eta _{1},\eta _{2}\right) -$ convex functions involving some parameters and generalized fractional integrals. We show that these results reduces to several new Simpson, midpoint and trapezoid type inequalities. Some special cases are also discussed. | |
| dc.identifier.endpage | 370 | |
| dc.identifier.issn | 2147-625X | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 356 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/19943 | |
| dc.identifier.volume | 9 | |
| dc.language.iso | en | |
| dc.publisher | Mehmet Zeki SARIKAYA | |
| dc.relation.ispartof | Konuralp Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_DergiPark_20250324 | |
| dc.subject | simpson's 1/3 formula|Integral inequalities|fractional calculus|convex functions | |
| dc.title | On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$\ \left( \eta _{1},\eta _{2}\right) -$Convex Functions via Generalized Fractional Integrals | |
| dc.type | Article |
