Proper Japanese Title: ジャンプGIGA
Jump Giga is an irregularly published special issue spin-off of Weekly Shonen Jump. Though it replaced the line of special issues of Shonen Jump that has gone through a number of name changes (see: Weekly Shonen Jump Special, Akamaru Jump and Jump Next!), it has the distinction of mostly containing short serials rather than primarily one-shots (though it still has more one-shots than a standard manga magazine).
However, like its predecessors it does focus on using popular series from the main magazine to promote itself, featuring the established works all over the cover when the new material is actually the bulk of the magazine. The magazine is currently published in short runs, rather than at a constant pace with a batch of issues being released at a monthly rate which contain their own serials unique to that batch. Several of the short serials were collected (though most have not been).