On some error bounds of MaclaurinÕs formula for convex functions in q-calculus

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorJarunee Soontharanon
dc.contributor.correspondenceM.A. Ali; School of Mathematical Sciences, Nanjing Normal University, China; email: mahr.muhammad.aamir@gmail.com
dc.date.accessioned2025-03-10T07:34:44Z
dc.date.available2025-03-10T07:34:44Z
dc.date.issued2023
dc.description.abstractThe main goal of this paper is to establish some error bounds for MaclaurinÕs formula which is three point quadrature formula using the notions of q-calculus. For this, we first prove a q-integral identity involving fist time q-differentiable functions. Then, by using the new established identity we find the error bounds for maclaurinÕs formula by using the convexity of fist time q-differentiable functions. It is also shown that the newly established inequalities are extension of some existing inequalities inside the literature. © 2023, University of Nis. All rights reserved.
dc.identifier.citationFilomat
dc.identifier.doi10.2298/FIL2318883S
dc.identifier.issn3545180
dc.identifier.scopus2-s2.0-85152015639
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4552
dc.languageEnglish
dc.publisherUniversity of Nis
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectconvex functions
dc.subjectMaclaurinÕs formula
dc.subjectq-calculus
dc.titleOn some error bounds of MaclaurinÕs formula for convex functions in q-calculus
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85152015639&doi=10.2298%2fFIL2318883S&partnerID=40&md5=e748ceb8e3de2592fdf719f6fd00f0e7
oaire.citation.endPage5894
oaire.citation.issue18
oaire.citation.startPage5883
oaire.citation.volume37
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