New generalizations of fractional Iyengar-type inequalities involving multi-point quadratures and Lp norms
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Hölder’s inequality, Iyengar-type inequality, L<sub>p</sub> spaces, Montgomery identity, Riemann-Liouville fractional integral
Kaynak
Filomat
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
40
Sayı
9
