Strongly n-polynomial convexity and related inequalities
| dc.contributor.author | Ataman, Canan | |
| dc.contributor.author | Kadakal, Mahir | |
| dc.contributor.author | İşcan, İmdat | |
| dc.date.accessioned | 2026-09-01T15:48:04Z | |
| dc.date.available | 2026-09-01T15:48:04Z | |
| dc.date.issued | 2022 | |
| dc.department | Bayburt Üniversitesi | |
| dc.description.abstract | In this paper, we introduce and study the concept of strongly n-polynomial convexity functions and their some algebraic properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is strongly n-polynomial convexity. Also, we compare the obtained results with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give better approach than the others. © 2022, SINUS Association. All rights reserved. | |
| dc.identifier.doi | 10.37193/CMI.2022.02.02 | |
| dc.identifier.endpage | 172 | |
| dc.identifier.issn | 1584-286X | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85185964382 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 155 | |
| dc.identifier.uri | https://doi.org/10.37193/CMI.2022.02.02 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12403/8372 | |
| dc.identifier.volume | 31 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | SINUS Association | |
| dc.relation.ispartof | Creative Mathematics and Informatics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_Scopus_20260820 | |
| dc.subject | Convex Function | |
| dc.subject | Hermite-Hadamard Inequality | |
| dc.subject | Hölder Integral Inequality | |
| dc.subject | Hölder İşcan Integral Inequality | |
| dc.subject | Strongly N-Polynomial Convexity | |
| dc.title | Strongly n-polynomial convexity and related inequalities | |
| dc.type | Article |
