Here's what I mean. This first image below is a sample of this screen captured with SnagIt, at the original size.

(You might have to keep clicking on the image to get to the original, crisp image at its original size.)
This second image is the same image reduced to 980 pixels across in width, which is the size I want to use. You see how the typeface is a bit more fuzzy? (Click through to the original as needed.)

There are so many factors involved in changing image size--pixel size, pixels per inch, monitor resolution, algorithm used to resize the picture, compression, image format (jpg, png), etc. etc., that I'm getting confused and don't know what to concentrate on.
So I thought I'd start with a basic question: am I expecting too much to have a resized, downsized image have the same sharpness as the original?
Resizing an image to a size LARGER than the original is whole other ballgame and not what I'm asking here. I understand that there's a more inherent problem in that scenario since you can't add information that's not originally there.
Any thoughts would be greatly appreciated--thank you!