2–5 Jul 2024
Osijek
Europe/Zagreb timezone

New identities related to Steffensen's inequality via one-point integral formula and related weighted Hermite-Hadamard-type bounds

4 Jul 2024, 09:20
30m
D1 (Faculty of Economics and Business, J. J. Strossmayer University of Osijek)

D1

Faculty of Economics and Business, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 7, Osijek
Poster ANL: Analysis and its Applications Poster session

Speaker

Anamarija Perušić Pribanić (Faculty of Civil Engineering, University of Rijeka)

Description

We use the one-point integral formula to obtain identities that are related to the classical Steffensen inequality. We give some new weight inequalities of the Hermite-Hadamard type for these identities. At the end, we present Hermite-Hadamard type bounds for the obtained identities by applying convex/concave functions of the form $|f^{(n)}|^q$.

Primary author

Anamarija Perušić Pribanić (Faculty of Civil Engineering, University of Rijeka)

Co-authors

Josip Pečarić (Croatian Academy of Sciences and Arts) Ksenija Smoljak Kalamir (Faculty of Textile Technology, University of Zagreb)

Presentation materials

There are no materials yet.