Hi @arun kumar rathina kumar. I don't think that's possible using vanilla JQL.
Even more important, the concept is flawed since I don't think you can choose that your weeks start on tuesdays... this means the search "this week's tuesdays" run on mondays won't ever return anything since you can not see the future.
The solution by @Bryan McMillan of course returns what you're looking for when you manually set the dates but I understand you want an expression valid for every tuesday and not a static date. And that, my friend... I think that's well beyond JQL capabilities. You could expect that something like "created > startOfWeek(+32h)" worked just fine but that's not the case. Instead, startOfWeek() means "start of THIS week", startOfWeek(-1) means "start of LAST week", and so on...
You could maybe try some custom field that allows you to code (maybe take a look at Power Custom Fields or something similar) and in that custom field you could write code that returns a "1" if your condition is satisfied, "0" otherwise. Then you just need a standard filter with the very mundane JQL "customField_xxxxx = 1".
There are also some apps/plugins that extend the capabilities of regular JQL, maybe some of them can give you that functionality but I honestly don't know. You'll have to do the research and check those but it is a plausible option.
I hope it helps :)
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