Iyengar-Hilfer fractional inequalities

Here we present Iyengar type integral inequalities. At the univariate level they involve \begin{document}$ \psi $\end{document} -Hilfer left and right fractional derivatives. At the multivariate level they involve Hilfer left and right fractional derivatives, and they deal with radial and non-radial functions on the ball and spherical shell. All estimates are with respect to norms \begin{document}$ \left \Vert \cdot \right \Vert _{p} $\end{document} , \begin{document}$ 1\leq p\leq \infty $\end{document} . At the end we provide an application.