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 areas 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. In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy type inequalities; (d) Hardy type inequalities in other function spaces with special emphasize on Morrey and Hö lder type spaces; and (e) a number of new open questions Key Features: ○ The only introductory, non-technical, microfinance textbook that is made reader-friendly for undergraduates and graduates ○ Written in close collaboration with college students for college students, under the auspices of one of the US’s leading undergraduate programs in microfinance ○ A complete coverage of the microfinance industry, its evolution and impact, in theory and in practice ○ Supplementary boxes (i.e., Dig Deeper, In the Field, Faces, In Your Backyard) relate microfinance to practices by individuals, organizations, as well as developing and developed countries

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