Document Type : Research Paper

Authors

• Sajid Iqbal ¹
• Muhammad Jibril Shahab Sahir ¹
• Muhammad Samraiz ²

¹ Department of Mathematics, University of Sargodha, Sub-Campus Bhakkar, Bhakkar, Pakistan

² 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

• Diamond-$\alpha$ integral
• Rogers-Hölder's inequalities
• time scales