We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebysev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen's inequality for n-convex functions. Finally, we use the segeneralizations to construct a linear functional that generates exponentially convex functions. We use Fink’s identity to obtain new identities related to
generalizations of Steffensen’s inequality. Ostrowski-type inequalities
related to these generalizations are also given. Using inequalities for
the Cebysev functional we obtain bounds for these identities. Further,
we use these identities to obtain new generalizations of Steffensen’s inequality for n-convex functions. Finally, we use these generalizations to
construct a linear functional that aenerates exvonentiallv convex functions.
