The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, extensions. In the present article, we provide generalizations Sokolov’s inequality in weighted Lebesgue LωΩ,A,μ spaces by employing Sonin’s identity Čebyšev functional. As result, generalized which bounding constants are improved with functions LωpΩ,A,μ spaces. an application, sever...

Let μ $$ \mu be a finite Borel measure on [ 0,1 ) \left[0,1\right) . In this paper, we consider the generalized integral type Hilbert operator I α + 1 ( f z = ∫ 0 t − d > {\mathcal{I}}_{\mu_{\alpha +1}}(f)(z)={\int}_0^1\frac{f(t)}{{\left(1- tz\right)}^{\alpha +1}} d\mu (t)\kern0.30em \left(\alpha >-1\right). ...

We prove boundedness of the Riesz fractional integral operator between distinct Orlicz–Morrey spaces, which is a generalization Adams type result. Moreover, we investigate some weighted Hardy operators and fractio