I don't have KDE so I can point you in the exact direction. But I think your problem is not about the resolution but about "overscan". TVs by default occlude a part of he screen, you should be able to change this behavior either through the TV menus or in the KDE settings.
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Ok so first of all thanks alot for the answer, I was looking for the appropriate term for ages! Unfortunately the TV has no option to fix this, so I am looking for a software solution, I am tempted to use xrandr but don't know if there is a better or other way. Being new to this operating system sure is exciting!!!