Abstract
The integral of a continuous function on \( \left[ {0,1} \right] \) may be viewed as the average value of that function. Sometimes it is desirable to have at one’s disposal a method of averaging functions on \( \left[ {0,1} \right] \) that gives different weights to different parts of the interval.
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Groenewegen, G.L.M., van Rooij, A.C.M. (2016). The Riesz Representation Theorem. In: Spaces of Continuous Functions. Atlantis Studies in Mathematics, vol 4. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-201-4_10
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DOI: https://doi.org/10.2991/978-94-6239-201-4_10
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Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-6239-200-7
Online ISBN: 978-94-6239-201-4
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