I was building a view for RestWS to output JSONon data, to have date show for specific date range you need to pass filter range. To do that you need to pass filter as two dates, with separator beeing "--" e.x. 2015-06-24--2015-06-28
Or in full link it would be
https://www.site.com/views/shipped_orders_rest/page_1.json?args[0]=2015-06-24--2015-06-28