On error estimations of Simpson's second type quadrature formula

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dc.contributor.authorErden, Samet
dc.contributor.authorIftikhar, Sabah
dc.contributor.authorKumam, Poom
dc.contributor.authorThounthong, Phatiphat
dc.date.accessioned2026-06-21T16:17:54Z
dc.date.created2024
dc.date.issued2024
dc.description.abstractIn this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to Lp[?, ?] with (p < 1 ? ?) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented. © 2020 John Wiley & Sons, Ltd.
dc.description.sponsorshipCenter of Excellence in Theoretical and Computational Science, King Mongkut's University of Technology Thonburi, TaCS-CoE, KMUTT; King Mongkut's University of Technology Thonburi, KMUTT
dc.identifier.doi10.1002/mma.7019
dc.identifier.endpage11244
dc.identifier.issn0170-4214
dc.identifier.issue13
dc.identifier.scopus2-s2.0-85096719757
dc.identifier.scopusqualityQ1
dc.identifier.startpage11232
dc.identifier.urihttps://doi.org/10.1002/mma.7019
dc.identifier.urihttps://hdl.handle.net/11772/27307
dc.identifier.volume47
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherJohn Wiley and Sons Ltd
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260621
dc.subjectabsolutely continuous functions; functions of bounded variation; Newton's inequality; special means
dc.titleOn error estimations of Simpson's second type quadrature formula
dc.typeArticle
dspace.entity.typePublication

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