Symmetric Rogers-Hölder's inequalities on diamond-$\alpha$ calculus

Document Type : Research Paper

Authors

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

Volume 9, Issue 2
December 2018
Pages 9-19
  • Receive Date: 12 June 2017
  • Revise Date: 12 October 2017
  • Accept Date: 15 February 2018
  • First Publish Date: 01 December 2018