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Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published in 1908, are important in analysis and its applications. This well organized handbook covers the newest methods of weight functions and most important recent results of Hilbert-type integral inequalities and applications in three classes of normal spaces. It is clear and well written, suitable for researchers, mathematicians and advanced students who wish to increase their familiarity with different topics of modern and classical mathematical inequalities related to Real Analysis and Operator T

Inequalities (Mathematics)

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This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators. .

Operator theory. --- Differentiable dynamical systems. --- Mathematics. --- Numerical analysis. --- Operator Theory. --- Dynamical Systems and Ergodic Theory. --- Real Functions. --- Numerical Analysis. --- Mathematical analysis --- Math --- Science --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Functional analysis --- Integral inequalities. --- Inequalities (Mathematics) --- Dynamics. --- Ergodic theory. --- Functions of real variables. --- Real variables --- Functions of complex variables --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics