On Conformable Fractional Newton-Type Inequalities
| dc.contributor.author | Xu, Hongyan | |
| dc.contributor.author | Awan, Muhammad uzair | |
| dc.contributor.author | Meftah, Badreddine | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Lakhdari, Abdelghani | |
| dc.date.accessioned | 2025-06-05T21:56:28Z | |
| dc.date.available | 2025-06-05T21:56:28Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson's 3/8 formula and the corrected Simpson's 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations. | en_US |
| dc.identifier.doi | 10.1142/S0218348X25500458 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.scopus | 2-s2.0-105005806346 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X25500458 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10126 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Conformable Fractional Integral Operators | en_US |
| dc.subject | Simpson 3/8 Inequalities | en_US |
| dc.subject | H & Ouml | en_US |
| dc.subject | Lder Inequality | en_US |
| dc.subject | Power Mean Inequality | en_US |
| dc.subject | Convex Functions | en_US |
| dc.title | On Conformable Fractional Newton-Type Inequalities | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Xu, Hongyan] Suqian Univ Suqian, Dept Math & Phys, Jiangsu 223800, Peoples R China; [Awan, Muhammad uzair] Govt Coll Univ Gurunanakpura, Dept Math, Faisalabad 38000, Pakistan; [Meftah, Badreddine] Univ 8 Mai 1945 Guelma, Fac MISM, Dept Math, Lab Anal & Control Differential Equat ACED, PO Box 401, Guelma 24000, Algeria; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkiye; [Jarad, Fahd] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat, Masjid Al Aqsa St, Mubarak Al Abdullah, Kuwait; [Lakhdari, Abdelghani] Kocaeli Univ, Fac Sci & Arts, Dept Math, Umuttepe Campus, Kocaeli 41001, Turkiye; [Awan, Muhammad uzair; Lakhdari, Abdelghani] Natl Higher Sch Technol & Engn, Dept CPST, Annaba 23005, Algeria | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 33 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4408311819 | |
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| gdc.virtual.author | Jarad, Fahd | |
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