New generalizations of fractional Iyengar-type inequalities involving multi-point quadratures and Lp norms
| dc.contributor.author | Bilişik, Candan Can | |
| dc.contributor.author | Sarikaya, Mehmet Zeki | |
| dc.date.accessioned | 2026-07-01T11:36:29Z | |
| dc.date.available | 2026-07-01T11:36:29Z | |
| dc.date.issued | 2026 | |
| dc.department | Düzce Üniversitesi | |
| dc.description.abstract | In this paper, we establish several new generalizations of Iyengar-type integral inequalities within the setting of Riemann-Liouville fractional calculus. By employing a fractional version of the Montgomery identity, we derive sharp estimates for the deviation between the fractional integral of a function and its discrete weighted averages at n arbitrary nodes. We extend these results to functions whose derivatives belong to the Lr [a, b] spaces by utilizing Hölder’s inequality. The established inequalities provide a unified setting that recovers the classical Iyengar-type results as special cases when the fractional order α = 1. Moreover, the influence of the node distribution on the associated error bounds is examined, and several corollaries corresponding to midpoint and trapezoidal-type rules are derived. © 2026, University of Nis. All rights reserved. | |
| dc.identifier.doi | 10.2298/FIL2609267B | |
| dc.identifier.endpage | 3274 | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 9 | |
| dc.identifier.scopus | 2-s2.0-105036634595 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 3267 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL2609267B | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/23073 | |
| dc.identifier.volume | 40 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | University of Nis | |
| dc.relation.ispartof | Filomat | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20260623 | |
| dc.subject | Hölder’s inequality | |
| dc.subject | Iyengar-type inequality | |
| dc.subject | L<sub>p</sub> spaces | |
| dc.subject | Montgomery identity | |
| dc.subject | Riemann-Liouville fractional integral | |
| dc.title | New generalizations of fractional Iyengar-type inequalities involving multi-point quadratures and Lp norms | |
| dc.type | Article |
