engleski

Estimates for Steffensen-type differences using Hermite-Hadamard inequality

Steffensen’s inequality is often used in inequality theory. During the last decade, many papers have been written on Steffensen’s inequality not only in the classical Riemann sense but also in time scale, quantum calculus, fractional calculus and so on. Using various interpolation polynomials such as Hermite, Abel-Gontscharoff, Lindstone and other, many identities for Steffensen-type differences were obtained. In this talk, we will show how using weighted Hermite-Hadamard’s inequality and convex or concave functions can yield estimates for various Steffensen-type differences.

Steffensen's inequality ; weighted Hermite-Hadamard inequality ; estimates ; convex functions

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