This is the second incarnation of Jeshurun, the first edited by R' Hirsch, this one by his son Issac in Hannover; although this one often contained essays from R' Hirsch. It is a weekly while the earlier one was a monthly. For a picture of a page from the monthly Jeshurun, see the Klugman biography page 330.
It ran from 1883 - 1888. In 1888 it merged with the journal Israelit.