[PDF.39ie] Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces (Series in Real Analysis)

Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces (Series in Real Analysis)

[PDF.qj28] Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces (Series in Real Analysis)

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 | #5724118 in Books |  2002-06-18 | Original language:English | PDF # 1 |  9.10 x.50 x6.10l,.0 | File type: PDF | 148 pages

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|| |Self-contained, and will be of specialists in the field of real functions. -- European Mathematical Society

The author gives a unified approach to a large family of integrals, Henstock-Kurzweil type. -- Mathematical s, 2003|

The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in the restricted sense, the integrations introduced by Pfeffer and by Bongiorno, and many others. Morever, some relations between integration and differentiation are made clear.Th...

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