Maja Andrić

Opial-type inequality due to Agarwal–Pang and fractional differential inequalities

In this paper we give extensions of Opial-type integral inequalities and use them to obtain a generalization of an inequality due to Agarwal and Pang. Applications with respect to fractional derivatives and fractional integrals are also given.

Generalizations of Opial-type inequalities in several independent variables

Abstract In this paper, we consider Willett’s and Rozanova’s generalizations of Opial’s inequality and extend them to inequalities in several independent variables. Also, we present some new Opial-type inequalities in several independent variables.

Corrigendum to "Generalizations of Opial-type inequalities in several independent variables" published in Demonstratio Math. 4(47) (2014)

Abstract The purpose of this corrigendum is to correct an error in the earlier paper by the authors: Generalizations of Opial-type inequalities in several independent variables, Demonstratio Math.

On Willett’s, Godunova-Levin’s, and Rozanova’s Opial-type inequalities with related Stolarsky-type means

In this paper, we consider generalizations of Opial’s inequality due to Willett, Godunova, Levin, and Rozanova. Cauchy-type mean-value theorems are proved and used in studying Stolarsky-type means defined by the obtained inequalities. Also, a method of producing n-exponentially convex and exponentially convex functions is applied.