8th Croatian Mathematical Congress

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

2 Jul 2024, 16:45

20m

D1 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

Talk ANL: Analysis and its Applications 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.