J.C. Penney is unveiling a new loyalty program that lets Sephora customers double-dip on rewards and allows earned points to roll over from month to month. It launches this week with an upgraded mobile app that keeps track of rewards and matches some of the program features of Penney’s most direct competitor, Kohl’s. Plano-based Penney has been working to revamp its loyalty program for more than a year. It was a weakness that CEO Marvin Ellison said had to be fixed as part of the company’s plan to get more revenue from each customer. That focus has included putting Penney in the kitchen and laundry appliance business and stepping up the number of Sephora locations to almost 650 inside Penney stores. Read more at The Dallas Morning News.