Ali Hassan - Department of Mathematics, Shah Abdul Latif University Khairpur-۶۶۰۲۰, Pakistan.
Asif Khan - Department of Mathematics, University of Karachi, University Road, Karachi-۷۵۲۷۰, Pakistan.

In this paper, we aim to  state well-known Ostrowski inequality via fractional Montgomery identity for the class of \phi-\lambda- convex functions. This generalized class of convex function contains other well-known convex functions from literature, allowing us to derive Ostrowski-type inequalities as specific instances. Moreover, we present Ostrowski-type inequalities for which certain powers of absolute derivatives are \phi-\lambda- convex using various techniques, including Hölder's inequality and the power mean inequality. Consequently, various established results would be captured as special cases. Moreover, we provide applications in terms of special means, allowing us to derive many numerical inequalities related to special means from Ostrowski-type inequalities.

Ostrowski inequality, Convex, Power mean inequality, Hölder's inequality