H ,

i have a SharePoint 2010 on-premise environement. i want to make the sites out of this environement to be available in the portable devices(tab, mobile). is it possible??

thanks. 

SharePoint 2010 browser support is limited.  The user experience with mobile/tablet for SP2010 is not very good and I wouldn't recommend you recommending it for your users.

https://technet.microsoft.com/en-us/library/cc288142(v=office.14).aspx

I think we really have to wait for what comes out for SP16 to see whether SharePoint is really mobile ready.  At this stage, it's not great.