Basic presentation of the integral
Integration

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A110 V1 Article

Basic presentation of the integral
Integration

Authors : Danièle LINO, Bernard RANDÉ

Publication date: October 10, 1996 | Lire en français

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1. Basic presentation of the integral

In the following, F is a real or complex vector space of finite dimension (denoted, where appropriate, by p). When F = ℝ ou ℂ , it is denoted F = K. The space F is provided with any norm ││ · ││; the norm equivalence theorem ensures that the results obtained do not depend on the particular norm chosen. In the case of K, either the absolute value or the modulus is used.

1.1 Constructing the integral of a controlled application

In this paragraph, we consider a segment [a, b], with a < b.

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