Speaker
Ksenija Smoljak Kalamir
(University of Zagreb Faculty of Textile Technology)
Description
The two-point Abel-Gontscharoff interpolation problem is a special case of the Abel-Gontscharoff interpolation problem introduced by Whittaker, Gontscharoff and Davis. Over the years, many generalizations of Steffensen's inequality and related identities connected to these generalizations have been established.
For the purpose of this talk, we will use the identities related to generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff interpolation polynomials. By using these identities in the weighted Hermite-Hadamard inequality for (n+2)-convex function, we will prove new Steffensen-type inequalities.
Primary author
Ksenija Smoljak Kalamir
(University of Zagreb Faculty of Textile Technology)
