New Minkowski and related inequalities via general kernels and measures

Abstract

Abstract In this article, we introduce a class of functions U ( p ) $\mathfrak{U}(\mathfrak{p})$ 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.

Keywords

• Kernels
• Measure space
• Measurable functions
• Minkowski inequality
• Reverse Minkowski inequality
• Fractional integrals