Introduction to the Theory of Functional Equations and Inequalities

Cauchy's Equation and Jensen's Inequality

Häftad, Engelska, 2008

1 179 kr

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Lists the required preliminary knowledge in set and measure theory, topology and algebra. This book gives details on solutions of the Cauchy equation and of the Jensen inequality, in particular on continuous convex functions, Hamel bases, and on inequalities following from the Jensen inequality.

Produktinformation

Utgivningsdatum2008-12-10
Mått170 x 240 x 33 mm
Vikt1 023 g
FormatHäftad
SpråkEngelska
Antal sidor595
Upplaga2
FörlagBirkhauser Verlag AG
ISBN9783764387488

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.