A study of new quantum Montgomery identities and general Ostrowski like inequalities
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes w 3 q and w 4 q differentiable functions to establish two new Montgomery identities, which are essential for the development of our main results which are new quantum estimates of general Ostrowski type inequality. The study involves numerous techniques, including q -identities, H & ouml;lder-like inequalities, and the Jensen-Mercer inequality for convex mappings, to derive the main outcomes of the paper. Additionally, the study presents special cases, numerical validation, and graphical illustrations to support the main results.
Açıklama
Anahtar Kelimeler
Montgomery, Identity, Mercer, Convex, Function, H & ouml;lder's inequality, Mercer Type Inequalities
Kaynak
Ain Shams Engineering Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
15
Sayı
5
