2–5 Jul 2024
Osijek
Europe/Zagreb timezone

General Opial type inequality and new Green functions

2 Jul 2024, 16:05
20m
D1 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D1

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

Trg Ljudevita Gaja 6, Osijek
Talk ANL: Analysis and its Applications Analysis and its Applications

Speaker

Kristina Krulić Himmelreich (University of Zagreb Faculty of Textile Technology)

Description

In this talk we give general Opial type inequality. We
consider two functions, convex and concave and prove a new general inequality on a measure space $(\Omega,\Sigma,\mu)$. The obtained inequalities are not direct generalizations of the Opial inequality but are of Opial type because the integrals contain function and its integral representation. We apply our result to new Green functions and obtain new results.

Primary authors

Ana Gudelj Josip Pečarić Kristina Krulić Himmelreich (University of Zagreb Faculty of Textile Technology)

Presentation materials

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