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Riemann integral of functions from \(\mathbb R\) into real normed space. (English) Zbl 1276.26025

Summary: In this article, we define the Riemann integral on functions from \(\mathbb R\) into real normed space and prove the linearity of this operator. As a result, the Riemann integration can be applied to a wider range of functions. The proof method follows [M. R. Spiegel, Theory and Problems of Vector Analysis. McGraw-Hill (1974)].

MSC:

26A42 Integrals of Riemann, Stieltjes and Lebesgue type
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