Weighted Hardy-type Inequalities: Refinement of Classical Hardy Inequality

Inequalities has become a sufficient tool in sciences especially in mathematical analysis. Hardy, Littlewood and Polya, in 1934, developed an excellent pioneering work in their book entitled ''Inequalities''. Since then, Hardy-type inequalities has received numerous attention of many researchers. The concern of researchers in this area has been to obtain a simpler method of proof to various useful inequalities. Later, weight functions were introduced and the interest was shifted to finding the necessary and sufficient conditions that will guarantee the validity of the inequalities. This monograph provided a simpler approach to the prove of some inequalities related to Hardy using standard methods and is designed to be used either as a textbook for a formal exposition or as a supplementary to all current standard texts on inequalities and mathematics in general.