  In this paper, we present a solution to the inequality $$ \bigg(
\int_0^{\infty} \bigg( \int_x^{\infty} \bigg( \int_0^t h \bigg)^q w(t)\,dt
\bigg)^{r / q} u(x)\,ds \bigg)^{1/r}\leq C \, \bigg( \int_0^{\infty} h^p v
\bigg)^{1 / p}, \quad h \in {\mathfrak M}^+(0,\infty), $$ using a combination
of reduction techniques and discretization. Here $1 \le p < \infty$, $0 < q ,\,
r < \infty$ and $u,\,v,\,w$ are weight functions on $(0,\infty)$.

Functional Analysis