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

نویسندگان
Iqbal, Sajid ID 1
Jibril Shahab Sahir, Muhammad ID 2
Samraiz, Muhammad ID 3

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

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

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

doi
10.22075/ijnaa.2018.11633.1579
چکیده

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.

کلیدواژه‌ها
Diamond-$alpha$ integral, Rogers-Hölder's inequalities, time scales