Kurzweil-Henstock Integral in Riesz spaces

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This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in ...
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Elementary Introduction to Kurzweil-Henstock Integral

Pp. 1-24 (24)

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova


In this chapter we introduce the theory of the Kurzweil-Henstock integral for real-valued functions, defined on a bounded interval of the real line.

The main properties are illustrated, the Fundamental Theorem of Calculus and some convergence theorems are proved; moreover some examples and exercises are given.