Transnational television has already been integrated with new media, and hence i suggest your question should be more about the effects of the convergence of new media and transnational television, you however must be able to narrow down your research to a more specific topic.

for one as according to Lev Manovich 2001, new media is not necessarily new, new media just terms the type of media that can be created and exhibition on computers, and in relation to your question however you might be able to find some good information if you search for some literature on participatory culture, convergence culture and trans-media entertainment, for example the walking dead video game by tall-tales which integrates and expands the regular TV program into a video game with a that has created a new following, (and even another good example the other way round from new media to TV is the tv programs dedicated to depicting the top most rudest you-tube video or video with the most views e.g. Rudetube) is a very good example of how to integrate new and old media again depending on what your definition of new media might be.

Thanks a lot Sir...You have given a new insight to my area of study. I will surely try to explore areas keeping the participatory culture, convergence culture and trans-media entertainment in proper perspective..

There is a classic work by Ben Bagdikian, The new media monopoly (2003), where questions on influence on audience are developed at detail. Certainly you know McCombs & Shaw work on agenda setting, and it would be a very good starting point.

Thanks Ricardo that will be helpful..