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An Introduction to the Theory of Functional Equations and Inequalities

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Cover of 'An Introduction to the Theory of Functional Equations and Inequalities'

Table of Contents

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    Book Overview
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    Chapter 1 Set Theory
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    Chapter 2 Topology
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    Chapter 3 Measure Theory
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    Chapter 4 Algebra
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    Chapter 5 Additive Functions and Convex Functions
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    Chapter 6 Elementary Properties of Convex Functions
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    Chapter 7 Continuous Convex Functions
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    Chapter 8 Inequalities
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    Chapter 9 Boundedness and Continuity of Convex Functions and Additive Functions
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    Chapter 10 The Classes A, B , ℭ
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    Chapter 11 Properties of Hamel Bases
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    Chapter 12 Further Properties of Additive Functions and Convex Functions
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    Chapter 13 Related Equations
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    Chapter 14 Derivations and Automorphisms
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    Chapter 15 Convex Functions of Higher Orders
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    Chapter 16 Subadditive Functions
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    Chapter 17 Nearly Additive Functions and Nearly Convex Functions
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    Chapter 18 Extensions of Homomorphisms
Attention for Chapter 7: Continuous Convex Functions
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