Diapositivo
Subscriber
In principle one could you deconvolution methods to restore part of the high frequency part of the image, and this would give a true increase in resolution. However, I don't know if anyone is doing this.
In my recently-died machine, with Windows XP SP3, I had a Photoshop plug-in, Focus Magic, which did exactly this, it used deconvolution to try to extract some more resolution from the image. In my opinion, it helped a bit. My main motivation was not the resolution in itself, but the maniacal attitude of my agency's inspectors (Alamy, infamous for this) who would inspect images at 100% (mapped pixel to pixel to the monitor) to check sharpness. At that magnification the concept of "sharpness" becomes quite debateable and sometimes the inspector would reject an image (which means, for Alamy rules, an entire batch and sometimes a 30-day waiting period before a new upload) with the dreaded "soft or lacking definition" motivation.
That made me a bit paranoid about this aspect of photographic quality, and Focus Magic did give some help to the perception of sharpness at 100% magnification. I suppose the difference would have been totally unnoticeable in normal prints.
Photoshop itself (of which I was using a very old version, something like CS2 or CS3) had a checkbox in the sharpening dialog window which, even if not explicitly stated, would make some deconvolution.