One way to define convergence is as the increasing interconnectedness of things. A clear example is emerging in the world of television, where viewers can access a world of programs (from channels, networks, streaming services), delivered across a range of distribution channels (local broadcast, cable, DBS, telco-based Multichannels, the Internet, mobile TV), on or through a number of viewing devices (TVs, computers, tablets, smartphones & cellphone, other connected devices tied to one or more screens), synchronously (live) or asynchronously (DVRs, recorded media).
Phew! That's a mouthful, and one chock full of jargon to boot. Mashable's got a basic glossary for the types of connected devices and services available today.that can fill you in.
Source - How Connected Devices and Streaming Video Are Changing the Way We Consume Content, Mashable