On some NewtonÕs type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals
dc.contributor.author | Muhammad Aamir Ali | |
dc.contributor.author | HŸseyin Budak | |
dc.contributor.author | Michal Fe_kan | |
dc.contributor.author | Nichaphat Patanarapeelert | |
dc.contributor.author | Thanin Sitthiwirattham | |
dc.date.accessioned | 2025-03-10T07:34:44Z | |
dc.date.available | 2025-03-10T07:34:44Z | |
dc.date.issued | 2023 | |
dc.description.abstract | In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several NewtonÕs type inequalities for differentiable convex functions and functions of bounded variation. Moreover, we give a mathematical example and graphical analysis of newly established inequalities to show their validity. © 2023, University of Nis. All rights reserved. | |
dc.identifier.citation | Filomat | |
dc.identifier.doi | 10.2298/FIL2311427A | |
dc.identifier.issn | 3545180 | |
dc.identifier.scopus | 2-s2.0-85149725883 | |
dc.identifier.uri | https://repository.dusit.ac.th//handle/123456789/4531 | |
dc.language | English | |
dc.publisher | University of Nis | |
dc.rights.holder | Scopus | |
dc.subject | Convex Functions | |
dc.subject | Fractional Calculus | |
dc.subject | SimpsonÕs 3/8 formula | |
dc.title | On some NewtonÕs type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals | |
dc.type | Article | |
mods.location.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85149725883&doi=10.2298%2fFIL2311427A&partnerID=40&md5=40feb892e4adc411d5b7b44aed3d8ae4 | |
oaire.citation.endPage | 3441 | |
oaire.citation.issue | 11 | |
oaire.citation.startPage | 3427 | |
oaire.citation.volume | 37 |