Comparison and Equivalency of Riemann-integrable with Lebesgue- integrable

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DOI:

https://doi.org/10.3126/caj.v2i1.72241

Keywords:

Riemann integration, Lebesgue integration

Abstract

This article compares Riemann integrability to Lebesgue integrability. A function must also be Lebesgue-integrable if it is Riemann-integrable, but opposite is not always true. The Lebesgue integral is a more generic and flexible idea that may be applied to a larger range of functions. Lebesgue integration provides a more general framework that expands integration options, particularly for more complicated functions. The equivalence of the two integrals is a difficult concept to grasp, and it is regularly covered in advanced real analysis courses.

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Published

2024-12-06

How to Cite

Kumar, N. K. (2024). Comparison and Equivalency of Riemann-integrable with Lebesgue- integrable. Chaturbhujeshwar Academic Journal, 2(1), 258–266. https://doi.org/10.3126/caj.v2i1.72241

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Articles