New Minkowski and related inequalities via general kernels and measures

Abstract

AbstractIn this article, we introduce a class of functions $\mathfrak{U}(\mathfrak{p})$ U ( p ) with integral representation defined over a measure space with σ-finite measure. The main purpose of this paper is to extend the Minkowski and related inequalities by considering general kernels. As a consequence of our general results, we connect our results with various variants for the fractional integrals operators. Such applications have wide use and importance in the field of applied sciences.