Moms are the fastest-growing buyers of iPhones, and they are tuning in more frequently and for longer periods than any other group on media Web sites such as Pandora, a streaming music service. Nielsen Research says mothers are far more likely to share photos and news stories on Facebook via smartphones and computers than anyone else. …

Nielsen calls these women“power moms.” They represent one in five online users — a proportion that is growing quickly — and some research shows they are an even greater force on mobile devices. …

Women with children are also among the biggest spenders on the Web — either buying directly from mobile apps or researching products that they buy later.