Fractal Hadamard-Mercer-Type inequalities with applications
| dc.contributor.author | Butt, Saad Ihsan | |
| dc.contributor.author | Yousaf, Saba | |
| dc.contributor.author | Younas, Muhammad | |
| dc.contributor.author | Ahmad, Hijaz | |
| dc.contributor.author | Yao, Shao-Wen | |
| dc.date.accessioned | 2023-02-14T11:28:48Z | |
| dc.date.available | 2023-02-14T11:28:48Z | |
| dc.date.issued | 2022 | en_US |
| dc.department | Rektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezi | en_US |
| dc.description.abstract | Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard-Mercer-type inequalities on fractal sets R? (0 < ? ? 1) by employing generalized convex function. We establish two new lemmas involving local fractional integrals. By using these lemmas, we obtain several results related to generalized Hadamard-Mercer-type integral inequalities for local differentiable generalized convex functions on real linear fractal space. Finally, we give applications for probability density functions and compute new generalized means. | en_US |
| dc.identifier.doi | 10.1142/S0218348X22400552 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85123900281 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://hdl.handle.net/11467/6221 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X22400552 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000776872300036 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific | en_US |
| dc.relation.ispartof | Fractals | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractal Space; Generalized Convex Function; Generalized Hermite-Hadamard Inequality; Jensen-Mercer Inequality; Local Fractional Derivative; Local Fractional Integral | en_US |
| dc.title | Fractal Hadamard-Mercer-Type inequalities with applications | en_US |
| dc.type | Article | en_US |
