Inequalities play an important role in almost all branches of
mathematics as well as in other areas of science and engineering.
This book surveys the present state of the theory of weighted
integral inequalities of Hardy type, including modifications
concerning Hardy-Steklov operators, and some basic results about
Hardy type inequalities and their limit (Carleman-Knopp type)
inequalities. It also describes some rather new fields such as
higher order and fractional order Hardy type inequalities and
integral inequalities on the cone of monotone functions together
with some applications and open problems. The book can serve as a
reference and a source of inspiration for researchers working in
these and related areas, but could also be used for advanced
graduate courses.
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