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bibliography springer ~ bibliography a. books cited in text 1 e. beckenbach and r. bellman inequalities springerverlag berlin gottingenhelberg 1961.
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inequalities by g.h. hardy ~ goey harold hardy frs was a prominent english mathematician known for his achievements in number theory and mathematical analysis. nonmathematicians usually know him for a mathematicians apology his essayom 1940 on the aesthetics of mathematics. the apology is often consred one of the best insights into the mind of a working .
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hardy inequality encyclopedia of mathematics ~ the integral hardy inequalities can be generalized to arbitrary intervals where and where the s are certain constants. generalized hardy inequalities are inequalities of the form 1 2 if and inequality 1 holds if and only if and 2 holds if and only if references 1 g.h. hardy j.e. littlewood g. plya inequalities cambridge univ. press 1934 2 s.m. nikolskii .

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inequalities arithmetic mean geometric mean inequal ~ this implies the amgm inequality. some generalizations of this inequality incl the power mean inequality and the jensens inequality see below. here are several problemsom the putnam exam which can be solved using the amgm inequality. note that some of the problems can be solved by dierent methods too. problem 1. prove or .
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hardys inequality wikipedia ~ hardys inequality is an inequality in mathematics named after g. h. hardy. it states that if is a sequence of nonnegative real numbers then for every real number p gt 1 one has