Whether the DVD player does it or the TV, the signal will ultimately be scaled to the native resolution of the display device. If you have a 1080x1920 native display, like an LCD flat panel, wehatever source is sent to the screen will be scaled to the resolution of the panel. Whether the DVD player does a better job of this, and most but not all , upscaling players output 1080i, or the display is the question.
If you have a standard DVD player that outputs 480i, the tv will scale it to the native resolution of the display. If your player outputs 480p, 720p, or 1080i/p, the display will scale it to the native res of the panel.
If you have an upconverting player that outputs 1080p, and a 1920x1080 display, you should try different combinations and see which looks better. Ther are some TVs that will do a better job, there are some that will most definatley not. It depends on the equipment used.
In the end, you are still displaying a source with only 480i resolution. There is only so much any scaler can do.
If you have a standard DVD player that outputs 480i, the tv will scale it to the native resolution of the display. If your player outputs 480p, 720p, or 1080i/p, the display will scale it to the native res of the panel.
If you have an upconverting player that outputs 1080p, and a 1920x1080 display, you should try different combinations and see which looks better. Ther are some TVs that will do a better job, there are some that will most definatley not. It depends on the equipment used.
In the end, you are still displaying a source with only 480i resolution. There is only so much any scaler can do.