Titlebook: Inequalities and Applications; Conference on Inequa Catherine Bandle,László Losonczi,Michael Plum Conference proceedings 2009 Birkhäuser Ba

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0373-3149 ial: .Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpe

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Conference proceedings 2009s of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in v

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A New Characterization of the Hardy and Its Limit Pólya-Knopp Inequality for Decreasing Functionsitely many possibilities to characterize the considered Hardy inequality for decreasing functions. We also state the corresponding weight characterization for the Pólya-Knopp inequality for decreasing functions.

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Norm Inequalities for Commutators of Normal Operatorsy invariant norm |||·|||, . and . where ‖·‖ is the usual operator norm. Applications of these norm inequalities are given, and generalizations of these inequalities to a larger class of nonnormal operators are also obtained.

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