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Showing 1 to 5 of 5 for “"Riemann Integral"”.
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An Introduction to the Lebesgue Integral
<p>The Riemann integral is the simplest integral to define, and it allows one to integrate every continuous function. It is really important to have a definition of the integral that allows a wider class of functions to be integrated. However, there are many other types of integrals, the most …
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Lebesgue ▼-Measure and Riemann ▼-Integration
… a greater understanding of ▼-measurability and Riemann ▼-integration, as well as to give a comparison between ▲ and ▼-measurability. Furthermore, a Mathematica program for finding the Riemann ▼-integral of a function on various time-scales is provided.
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Construction of a Non-Standard Integral on AC [0, 1]
A review of the Riemann and Lebesgue integration leads into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used …
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Construction of a non-standard integral on AC [0, 1]
A review of the Riemann and Lebesgue integration leads into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used …