Steffensen-Type Integral Inequalities for Functions with s-Convex Absolute n-th Derivatives

OpenAlex İngilizce

In this paper, we establish new Steffensen-type integral inequalities for functions whose absolute nth derivatives are s-convex in the second sense. By deriving an appropriate integral representation and employing inequalities such as Ho¨lder, power-mean, and Young, we obtain several explicit upper bounds expressed in terms of endpoint values of the absolute n-th derivative of f. The obtained results generalize Steffensen-type inequalities to the s-convex framework and provide a unified treatment of different analytical techniques within this setting.