Inequalities are essential in the study of
Mathematics and are useful tools in the theory of analysis. They have been
playing a critical role in the study of the existence and uniqueness properties
of solutions of initial and boundary value problems for differential equations
as well as difference equations with their
bounds. In this paper, we obtain new integral inequalities mainly by using some
known inequalities. Various generalizations of
Hardy's inequality are special cases of the results therein.
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