Abstract
Before developing further the concepts of generalized Fourier series, Hilbert spaces, and error analysis of computational methods, a brief presentation of Lebesgue integration theory is needed for completeness. These integration concepts find use in development of error bounds, and also are necessary in providing limits of sequences of approximations. In this Chapter, only a brief survey of the more important concepts of Lebesgue integration theory is reviewed, laying additional foundation for the subsequent mathematical development of computational mechanics in the later Chapters.
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© 1993 Springer-Verlag London Limited
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Hromadka, T.V. (1993). Integration Theory. In: The Best Approximation Method in Computational Mechanics. Springer, London. https://doi.org/10.1007/978-1-4471-2020-9_2
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DOI: https://doi.org/10.1007/978-1-4471-2020-9_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2022-3
Online ISBN: 978-1-4471-2020-9
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