Over the past decade, the term smartphone typically refers to a general purpose computing device that fits in your pocket that also acts as a phone. There is also more recently an implied requirement of a touch screen. A feature phone is more of an appliance device, where the primary feature is a phone, but it also has other limited features, some of which are internet enabled.
Unlike a smartphone, where you have a lot of control over what software you can put on it (similar to a PC), a feature phone only has a limited set of preinstalled features and optionally has a limited app store to add some more limited features.
By those definitions, the phones in the article are more feature phone than smartphone.