In measure-theoretic analysis and related branches of mathematics, Lebesgue-Stieltjes integration generalizes both Riemann-Stieltjes and Lebesgue integration, preserving many of the advantages of the latter within a more general measure-theoretic framework. The Lebesgue-Stieltjes integral is the ordinary Lebesgue integral taken with respect to the Lebesgue-Stieltjes measure, a regular Borel measure that can be associated with any function of bounded variation on the real line, and conversely every regular Borel measure on the real line arises this way. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Lebesgue-Stieltjes integration (Wikipedia)
Source Lebesgue-Stieltjes integration (Wikipedia)
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1. Lebesgue-Stieltjes Integration (Wikipedia)
Lebesgue-Stieltjes integration (Wikipedia)
Attributed To: Henri Lebesgue, Lead paragraph
In measure-theoretic analysis and related branches of mathematics, Lebesgue-Stieltjes integration generalizes both Riemann-Stieltjes and Lebesgue integration, preserving the many advantages of the
Attributed To: Johann Radon, Lead paragraph
Lebesgue-Stieltjes integrals, named for Henri Leon Lebesgue and Thomas Joannes Stieltjes, are also known as Lebesgue-Radon integrals or just Radon integrals, after Johann Radon, to whom much of the theory is due. They find common application
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