2–5 Jul 2024
Osijek
Europe/Zagreb timezone

The extension of the weighted Montgomery identity and application to the Hermite-Hadamard type inequalities

Not scheduled
20m
Osijek

Osijek

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek, Trg Ljudevita Gaja 6, Osijek Faculty of Economics, J. J. Strossmayer University of Osijek , Trg Ljudevita Gaja 7, Osijek
Talk ANL: Analysis and its Applications

Speaker

Sanja Kovač

Description

The extension of the weighted Montgomery identity is established by using the general integral formula. Further, by using this extended weighted Montgomery identity for functions whose derivatives of order $n-1$ are absolutely continunous functions, new inequalities of the weighted Hermite-Hadamard type are obtained. Also, applications of these results are given for various types of weight function.

Primary author

Co-authors

Josip Pečarić (Croatian Academy of Sciences and Arts) Mihaela Ribičić Penava

Presentation materials

There are no materials yet.