deleting jx browser from macbook

Generally, you can delete any app you installed; some require their own uninstaller. You cannot delete apps installed by default.

Apps do not take up that much space - videos, photos, movies take up more space.

I had never heard of the jx browser - check with the developers.

should I deleting jx browser from my macbook air?

Yes.

If you don't know what something is, how it works, or what it does, then you shouldn't install it to begin with.

Clear as mud.