Connect MBP 2015 to external monitor 2560 x 1080 resolution? I need to connect a MBP 15" to an external monitor with 2560 x 1080 resolution (this http://www.trustedreviews.com/lg-29ea93-review ).

I already tried HDMI to HDMI but the text looks very bad (sharp).

I guess I need to use Thunderbolt to Display Port but I don't know which cable adapter is the correct one.

Then my question is which is correct connection and what cable do I need to buy?

The MBP has:


Thunderbolt
USB 3
HDMI


The monitor has:


DisplayPort
DVI-D Dual Link
HDMI
USB 3.0
You can connect your monitor to a Thunderbolt port using a DisplayPort to Mini DisplayPort cable like this one; other lengths are available if 3 Feet is not long enough for your purposes.

I connected my LG 25UM65 (2560x1080 native resolution) to my MacBookPro11,3 (mid 2014 15" Retina) three different ways, HDMI to HDMI, Thunderbolt to DisplayPort, and Thunderbolt to HDMI. The Thunderbolt to HDMI connection is not useful (the maximum resolution it offers is 1920x1080), but the other two connections both work at 2560x1080@60Hz, and the visual quality is comparable across the two connections (but both look blotchy compared to the Retina display). A UHD display (3840x2160) is a better choice than 2560x1080 to maximize the display quality of Thunderbolt 2 (DisplayPort 1.2).

It's possible that a better HDMI cable will improve the display quality (the one I'm using is labeled HDMI HIGH SPEED). You can determine (and change) the resolution and refresh rate from System Preferences (Display) by choosing Scaled rather than Default for display (using the Alt key while choosing Scaled can provide more choices on some displays). A 2015 Mac's HDMI port is capable of driving 2560x1080@60 Hz, provided the display has a suitable HDMI input (HDMI 1.3 is sufficient, but HDMI 1.2 probably isn't). If your display has multiple HDMI inputs, you might try all of them to see if that makes a difference.