Hello,
Technically peppers would be a fruit because the pepper is the ripened ovary of the capsicum plant and contains the seeds.
However it is considered a vegetable in the culinary world because of its pungent and savory taste rather than sweet and juicy.
Here are some links discussing vegetable and fruit classification as well as one for bell peppers:
http://en.wikipedia.org/wiki/Vegetable
http://en.wikipedia.org/wiki/Fruit
http://en.wikipedia.org/wiki/Bell_pepper
If I can help you further please let me know.
Nurse (RN)
Registered Nurse (pediatrics, home health), Internet Researcher, Caregiver, Mom for 17 years