A new Iyengar-type inequality via a refined integral identity
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ptolemy Scientific Research Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we present new sharp forms of Iyengar-type integral inequalities for differentiable and twice-differentiable functions. Using exact integral identities and the Cauchy-Schwarz inequality, we derive optimal L2-bounds for the deviation between the midpoint value and the integral mean of a function. These results refine and extend several classical Hermite-Hadamard and Iyengar inequalities. © 2026 by the authors; licensee PSRP, Lahore, Pakistan.
Açıklama
Anahtar Kelimeler
Convex function, Hermite-Hadamard inequalities, Iyengar inequality, midpoint inequalities, trapezoid
Kaynak
Open Journal of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
10
