Awan, Muhammad UzairJaved, Muhammad ZakriaBudak, HuseyinHamed, Y. S.Ro, Jong-Suk2024-08-232024-08-2320242090-44792090-4495https://doi.org/10.1016/j.asej.2024.102683https://hdl.handle.net/20.500.12684/14419The 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.en10.1016/j.asej.2024.102683info:eu-repo/semantics/openAccessMontgomeryIdentityMercerConvexFunctionH & ouml;lder's inequalityMercer Type InequalitiesArticle155WOS:001223379500001N/A