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Convert all eps files into jpeg copies in current directory and lower.

#!/usr/bin/bash
for f in $(find -type f -iname '*.eps')
do
     dest=`echo ${f%.*}`
     echo "${f} to ${dest}.jpg"
     convert "${f}" "${dest}.jpg"
done

This bash script will find all the files matching the pattern *foo.txt.

#!/usr/bin/bash
for f in $(find -type f -name '*foo.txt')
do
    echo "removing ${f}."
    rm "${f}"
done

Use -iname for case-insensitive, which will even match hidden files (files with a leading dot).
The -type f means only find regular files.