Integral inequalities in measure spaces
In this paper the author has established upper bounds on the solutions of the integral inequalities in measure spaces \((X,{\mathcal A}, \mu_i)\), \(i=1, \dots, n,{\mathcal A}\) a \(\sigma\)-algebra in \(X\), of the form: \[ y(x) \leq f(x)+ \sum^n_{i=1} g_i(x)\int_{S(x)} y d\mu_i, \] where \(f\) and \(g_i\), \(i=1,2, \dots,n\), are real-valued functions on \(X\) and \(S(x)\in{\mathcal A}\), for every \(x\in X\) and the case in which \(n=1\) is noted explicitly.
scientific article; zbMATH DE number 1274786
scientific article