Hermite–Hadamard Type Inequalities Involving k-Fractional Operator for (h¯,m)-Convex Functions
dc.contributor.author | Sahoo, Soubhagya Kumar | |
dc.contributor.author | Ahmad, Hijaz | |
dc.contributor.author | Tariq, Muhammad | |
dc.contributor.author | Kodamasingh, Bibhakar | |
dc.contributor.author | Aydi, Hassen | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2021-09-29T12:03:54Z | |
dc.date.available | 2021-09-29T12:03:54Z | |
dc.date.issued | 2021-09-13 | |
dc.identifier.citation | Symmetry 13(9) : (2021) // Article ID 1686 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/53171 | |
dc.description.abstract | The principal motivation of this paper is to establish a new integral equality related to k-Riemann Liouville fractional operator. Employing this equality, we present several new inequalities for twice differentiable convex functions that are associated with Hermite–Hadamard integral inequality. Additionally, some novel cases of the established results for different kinds of convex functions are derived. This fractional integral sums up Riemann–Liouville and Hermite–Hadamard’s inequality, which have a symmetric property. Scientific inequalities of this nature and, particularly, the methods included have applications in different fields in which symmetry plays a notable role. Finally, applications of q-digamma and q -polygamma special functions are presented. | es_ES |
dc.description.sponsorship | This work was funded by the Basque Government for Grant IT1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject | Hermite–Hadamard inequality | es_ES |
dc.subject | h-convex function | es_ES |
dc.subject | Hölder inequality | es_ES |
dc.subject | power mean inequality | es_ES |
dc.subject | Hölder–İşcan integral inequality | es_ES |
dc.subject | q-digamma functions | es_ES |
dc.title | Hermite–Hadamard Type Inequalities Involving k-Fractional Operator for (h¯,m)-Convex Functions | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2021-09-25T23:33:57Z | |
dc.rights.holder | 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/13/9/1686/htm | es_ES |
dc.identifier.doi | 10.3390/sym13091686 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).