Reverse Hardy inequalities via μ-proportional generalized fractional integral operators [Articol]

Abstract

Abstract. In this paper, we present a further improvement of the reverse Hardy type inequality via a+IΦμ and b−IΦμ , the proportional generalized fractional integral operators with respect to another strictly increasing continuous function μ. We obtain a new result by using two parameters of integrability p and q, some special cases are mentioned according to the choice of the function Φ.