.JPG or .JPEG files are best used as images in documents or presentations.
JPG or JPEG (short for Joint Photographic Experts Group, and pronounced jay-peg) is a file format best used for photo images which must be very small files, for example, for web sites or for email. Some image quality is lost when the JPG data is resized or compressed and saved, and this quality can never be recovered. These files should be used at existing size or smaller, never larger or stretched disproportionately.
.EPS files are best used for large signs and banners.
EPS (short for Encapsulated PostScript) is a vector format designed for printing to PostScript printers and imagesetters. Vector art is geometric primitives (points, lines, and shapes) that creates art that is clean, camera ready, and can be scaled infinitely, without any loss of quality or fidelity. It is considered the best choice of graphics format for high resolution printing of illustrations. EPS files are created and edited in illustration programs such as Adobe Illustrator.
.PNG files are best used for web or digital uses.
Use PNG when you need smaller file sizes with no loss in quality. PNG files are usually smaller than TIFF images. PNG also supports alpha transparency (soft edges) and was developed to be a Web graphics replacement for GIF.