Naslov
General Opial Type Inequality and New Green Functions

Autori
Gudelj, Ana ; Krulić Himmelreich, Kristina ; Pečarić, Josip

Izvornik
Axioms (2075-1680) 11 (2022), 252; 1-16

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Opial inequality ; Green function ; Jensen inequality

Sažetak
In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω, Σ, μ). We give an new result involving four new Green functions. Our results include Grüss and Ostrowski type inequalities related to the generalized Opial type inequality. The obtained inequalities are of Opial type because the integrals contain the function and its integral representation. They are not a direct generalization of the Opial inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA