AIMS MATHEMATICS, vol.7, no.4, pp.5605-5615, 2022 (SCI-Expanded)
: In this paper, the Ostrowski inequality for s-convex functions in the third sense is studied.
By applying Holder and power mean integral inequalities, the Ostrowski inequality is obtained for the ¨
functions, the absolute values of the powers of whose derivatives are s-convex in the third sense. In
addition, by means of these inequalities, an error estimate for a quadrature formula via Riemann sums
and some relations involving means are given as applications.