Im mixing these guys together, because while they are big they arent all that important anymore.  Im indifferent on both, though SEGA have for me released 2 of the best games of the generation there has been a lot of shit from them. Capcom have been quite similar, though they didnt release any games that made me think "wow".
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SEGA. Valkyria Chronicles, I think is the best game released this gen. It blew me away and only Red Dead came close to the "impact" the game had on me over the last few Years. Its a masterpiece. Its a diamond. It stands out in a franchise that was mishandled by SEGA.

They let Sonic fall into a deep, deep hole too (Though Colors and Generations were a step in the right direction). Oh, and Bayonetta (While it wasnt exactly developed by a SEGA team, it was published by SEGA) is the best hack n slash Ive ever played.

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On the other hand, Capcpom have tried ever so hard to ruin the Resident Evil franchise with RE6 and ORC after RE5 was actually a pretty good effort (Im serious), there is another plus though with Revelations. Devil May Cry is now going through the transitional phase, where the core fans of the franchise are getting pissed off.

The bright spots for Capcom are big, Monster Hunter shaped spots with a little bit of Street Fighter and Dead Rising mixed in. Lost Planet was mediocre at best

While both have released some really good games over the last generation, there has been some almighty fuck ups.

Two of my long time favorite publishers whom I've always admired for their outrageous IPs but are now in steep decline. I'll be forever grateful for stuff like Yakuza and Valkyria Chronicles and Binary Domain regardless of how poorly they may have sold, but if Sega is really going to focus exclusively on Sonic and Aliens going forward then I'd be perfectly content to see them cease to exist altogether.

Capcom is likewise becoming more risk averse. Worse, they've been hemorrhaging talent like crazy for years now. Inafune leaving was a huge blow in my eyes. They seem to basically be down to Monster Hunter and Resident Evil at this point for money franchises, which makes them a mite more relevant to me than Sega as I still like RE a lot. Fuck the haters, 6 ruled. I seem to be in the minority there, though, so they are one more misstep away from being in a very dangerous position. And that misstep will probably come sooner than later since they are milking the series at an unbelievable pace. Hell, even I was gonna skip out on Revelations until I saw this...

You win, Capcom... for now.

honestly, couldnt care one bit for either of them

how prominent sega int he gaming world right now???

I honestly don't care about either of them very much. They never really made any games that I really liked/wanted in general.

Sega games just dont interest me anymore. Capcom killed the RE IP to me. Last one I played was RE5, and that was just a single playthrough. I remember playing RE4 over a dozen times.

Sega, they have had a decent presence in this generation. Yakuza series, Vanquish, Bayonetta all some great games. A bit too much Sonic for my liking but there have some decent sonic games like Sonic Colours and Sonic Chronicles. But for next gen, i hope Sega bring back some of their older franchises but make more new ones too, they have the potential to be great again.

As for Capcom, i don't really care about them. I only played Resident Evil 5 this generation and that was ok but not amazing, it was great with a friend though. I have never played any of their other franchises, so i won't judge them. They don't really appeal to me

Sega - don't really care about them. 

Capcom - they killed megaman and RE so yeah I don't like them. Only Monster Hunter interest me.

Don't mind Sega. I like the Total War series, and some Sonic games. They're alright.

Capcom ruined Resident Evil by turning it into an action game, that was one of the only series I really liked from them. Boo Capcom.

After some dark years in the mid-2000s (especially with the Sonic franchise), SEGA has been improving substantially, making higher quality games, leveraging iconic properties, and even publishing a few new IP from outside developers. Platinum Games really delivered some creative titles, with Bayonetta being arguably the best hack'n'slash of the current generation, and MadWorld, Vanquish, and Anarchy Reigns are all interesting and fun in their own ways (Vanquish in particular is a fresh take on the third-person shooter).

Sonic has seen a dramatic reinvention. After the disaster that was Sonic '06, Sonic Team took the gameplay and the storytelling in a radically new direction, and while Unleashed had a mixed reception, the Day Stage gameplay became the foundation for two excellent titles, Sonic Colors and Sonic Generations. The franchise has also gotten a good boost from Sumo Digital's two Sonic Racing titles, which are really the only kart racers today that can hold a candle to Mario Kart.

But the biggest shift for SEGA as a company is the increased focus on digital titles on a wide variety of platforms (console, PC, mobile). Both remakes of older titles (NiGHTS, Jet Set Radio, Sonic Adventure 2, Guardian Heroes) and new IP (Renegade Ops, Hell Yeah) have helped SEGA to keep their lineup robust while reducing the amount of financial risk they take per title.