Some inequalities for interval-valued functions on time scales

We introduce the interval Darboux delta integral (shortly, the $ID$ $\mathrm{\Delta }$-integral) and the interval Riemann delta integral (shortly, the $IR$ $\mathrm{\Delta }$-integral) for interval-valued functions on time scales. Fundamental properties of $ID$ and $IR$ $\mathrm{\Delta }$-integrals and examples are given. Finally, we prove Jensen’s, H"{o}lder’s and Minkowski’s inequalities for the $IR$ $\mathrm{\Delta }$-integral. Also, some examples are given to illustrate our theorems.