| dc.creator | Kermausuor, Seth | |
| dc.date | 2021-11-29 | |
| dc.date.accessioned | 2022-07-13T16:11:00Z | |
| dc.date.available | 2022-07-13T16:11:00Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3835 | |
| dc.identifier | 10.22199/issn.0717-6279-3835 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/196782 | |
| dc.description | In this paper, we obtained a new Hermite-Hadamard type inequality for functions of two independent variables that are m-convex on the coordinates via some generalized Katugampola type fractional integrals. We also established a new identity involving the second order mixed partial derivatives of functions of two independent variables via the generalized Katugampola fractional integrals. Using the identity, we established some new Hermite-Hadamard type inequalities for functions whose second order mixed partial derivatives in absolute value at some powers are (α, m)-convex on the coordinates. Our results are extensions of some earlier results in the literature for functions of two variables. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3835/3934 | |
| dc.rights | Copyright (c) 2021 Seth Kermausuor | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 40 No. 6 (2021); 1449-1472 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 40 Núm. 6 (2021); 1449-1472 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2021-06 | |
| dc.subject | Hermite-Hadamard inequality | en-US |
| dc.subject | Convex functions on the coordinates, m-convex functions on the coordinates | en-US |
| dc.subject | (α, m)-convex functions on the coordinates | en-US |
| dc.subject | Hölder’s inequality | en-US |
| dc.subject | Katugampola fractional integrals | en-US |
| dc.subject | 26A33 | en-US |
| dc.subject | 26A51 | en-US |
| dc.subject | 26D10 | en-US |
| dc.subject | 26D15 | en-US |
| dc.title | New Hermite-Hadamard type inequalities for m and (α, m)-convex functions on the coordinates via generalized fractional integrals | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
