Thank you for your reply.
I added a featured image to my blog page but that doesn’t show up in the blog.
What I want to achieve is to have the “blog” looking like the frontpage, with the banner and a button to go back home.
If you visit the site http://www.fantasticus.nl/sandbox/ you will see that the blog page (it is the “Agenda” section on the site, you can access it just by pressing the button in the banner) looks not at all like the theme.
Could you please let me know how to add such banner and button to make it look like home?