Generalization of Riemann Integral: The Lebesgue Integral

Authors

  • Janata Raut Thakur Ram Multiple Campus, Birgunj, Tribhuvan University

DOI:

https://doi.org/10.3126/av.v8i1.74017

Keywords:

Partition, sums, bounds, Reimann integral, Lebesgue integral

Abstract

This paper deals principally with the two integrals, namely Riemann integral and Lebesgue integral starting with definitions and their existences. Basically the domain of the Riemann integrable function is different from that of the Lebesgue integrable function. It is found that every upper (lower) Riemann integral is greater than (less than) or equal to every upper (lower) Lebesgue integral. It includes that Lebesgue integral is the generalization of Riemann integral and is the focus of this paper

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Author Biography

Janata Raut, Thakur Ram Multiple Campus, Birgunj, Tribhuvan University

Department of Mathematics

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Published

2018-12-31

How to Cite

Raut, J. (2018). Generalization of Riemann Integral: The Lebesgue Integral. Academic Voices: A Multidisciplinary Journal, 8(1), 34–39. https://doi.org/10.3126/av.v8i1.74017

Issue

Vol. 8 (2018)

Section

Articles

License

© Academic Voices: A multidisciplinary Journal

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