One very popular sharpening approach for digital images is the three pass sharpening technique described by Bruce Frazer and Jeff Schewe in their book Real Word Image Sharpening with Adobe Photoshop, Camera Raw, and Lightroom. Those phases are Capture Sharpening, Creative Sharpening, and Output Sharpening.
Capture Sharpening attempts to correct for the inevitable blurring that occurs in any digital capture. If there is a desire to bring attention to a particular area of the image, Creative Sharpening might be used to achieve it. Every output medium has its own particular requirements for sharpening, be that to a computer screen, or to paper. Output Sharpening optimizes the image for the media requirements and expected viewing distance.
Phase One Capture One allows for that same approach, in its own way. That way differs a bit from Adobe Lightroom and Adobe Camera Raw (ACR), but will achieve much the same results. If I discuss Lightroom’s sharpening, it is for all practical purposed the same as ACR’s.