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" Introduction to the Theory of Functional Equations and Inequalities "
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BL
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| Record Number
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768138
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b588124
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| Title & Author
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Introduction to the Theory of Functional Equations and Inequalities
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| Publication Statement
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2009
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| ISBN
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3764387483
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: 3764387491
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: 9783764387488
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: 9783764387495
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| Contents
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Preliminaries.- Set Theory.- Topology.- Measure Theory.- Algebra.- Cauchy's Functional Equation and Jensen's Inequality.- Additive Functions and Convex Functions.- Elementary Properties of Convex Functions.- Continuous Convex Functions.- Inequalities.- Boundedness and Continuity of Convex Functions and Additive Functions.- The Classes A, B, ?.- Properties of Hamel Bases.- Further Properties of Additive Functions and Convex Functions.- Related Topics.- Related Equations.- Derivations and Automorphisms.- Convex Functions of Higher Orders.- Subadditive Functions.- Nearly Additive Functions and Nearly Convex Functions.- Extensions of Homomorphisms.
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| Subject
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Matemáticas.
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