Hmm... does the newsletter contain (or require) rich formatting and layout? If not, why not just use an atom/rss feed to deliver the newsletter (ie a blog)? Anything can read that, and people can use the feed reader of their choice.
Other than that, if you need to use ePub, just make it a DRM-free one (which I expect you'd do) and provide users a short explanation and links to some popular software on the main platforms (windows, mac, android, iOS, etc). Give them the link to the ePub article on wikipedia too; there's a lot of reader software listed there.
Then just upload the file to your website every week and give your followers the link.
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