thank you for implementing this useful functionality. I have a few of comments and suggestions to it.
1) Hiding scroll buttons
Currently, a scroll button is hidden every time there's no possibility to scroll any further in the respective direction. The problem is it's being hidden using style attribute instead of attaching CSS classes (k-disabled e.g.) which would be much more convenient in case you need to adjust design of it (without using !important directive).
2) Navigation is not automatically scrolled to the active tab after screen resolution / viewport is changed
I found a not perfect workaround using tabStrip.activateTab(tabStrip.select()) to achieve this, but automatic solution would be nicerII
I'm looking forward to your opinions.