Symmetric Rogers-Hölder's inequalities on diamond-α calculus

Document Type: Research Paper

Authors

1 Department of Mathematics, University of Sargodha, Sub-Campus Mianwali

2 Department of Mathematics, University of Sargodha, Sub-Campus Bhakkar, Bhakkar, Pakistan

3 Department of Mathematics, University of Sargodha, Sargodha, Pakistan

Abstract

We present symmetric Rogers--Hölder's inequalities on time scales when $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=0$ and $\frac{r}{p}+\frac{r}{q}$ is not necessarily equal to $1$ where $p,$ $q$ and $r$ are nonzero real numbers.

Keywords