How to delete the purchase history from the App Store on my Iphone?

I have an Iphone 5c and I wish to remove the purchase history from my app store. I can't seem to do ithough. Is there any way? I try to open the app store, go to updates then slide over to "not on this phone" it will not swipe delete them and if i push it, it just starts to download again.

You can't delete them. They're permanently stored onto your account history such that you can re-download apps for free (so that you don't have to pay again for apps or music/videos you downloaded in the past, regardless of their price)