Riemann–Stieltjes integral

generalization of the Riemann integral where one integrates a function with respect to another function
Intangible formula Q285771
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Riemann–Stieltjes integral

Summary

Riemann–Stieltjes integral is a formula[1]. It ranks in the top 5% of formula entities by monthly Wikipedia readership (552 views/month).[2]

Key Facts

  • Riemann–Stieltjes integral is credited with the discovery of Thomas Joannes Stieltjes[3].
  • Riemann–Stieltjes integral's instance of is recorded as formula[4].
  • Bernhard Riemann is named after Riemann–Stieltjes integral[5].
  • Thomas Joannes Stieltjes is named after Riemann–Stieltjes integral[6].
  • Riemann–Stieltjes integral is a type of Lebesgue–Stieltjes integration[7].
  • Riemann–Stieltjes integral was released on 1894[8].
  • Riemann–Stieltjes integral's described by source is recorded as Armenian Soviet Encyclopedia[9].
  • Riemann–Stieltjes integral's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Riemann–Stieltjes integral's copyright status is recorded as public domain[11].

Body

Definition and Type

Riemann–Stieltjes integral's instance of is recorded as formula[4]. It is a type of Lebesgue–Stieltjes integration[7].

Origins

Things named after include Bernhard Riemann[5], a mathematician[12], 1826–1866[13], of Kingdom of Hanover[14], awarded the Foreign Member of the Royal Society[15], specialised in differential geometry[16] and Thomas Joannes Stieltjes[6], a mathematician[17], 1856–1894[18], of Kingdom of the Netherlands[19], awarded the Honorary doctor of Leiden University[20].

Why It Matters

Riemann–Stieltjes integral ranks in the top 5% of formula entities by monthly Wikipedia readership (552 views/month).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[21] It is known by 6 alternative names across languages and contexts.[22]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Inline context (facts about related entities)

  1. [12] . Wikidata. wikidata.org. → on this site
  2. [13] . Wikidata. wikidata.org. → on this site
  3. [14] . Wikidata. wikidata.org. → on this site
  4. [15] . Wikidata. wikidata.org. → on this site
  5. [16] . Wikidata. wikidata.org. → on this site
  6. [17] . Wikidata. wikidata.org. → on this site
  7. [18] . Wikidata. wikidata.org. → on this site
  8. [19] . Wikidata. wikidata.org. → on this site
  9. [20] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Riemann–Stieltjes integral. Retrieved May 3, 2026, from https://4ort.xyz/entity/riemann-stieltjes-integral
MLA “Riemann–Stieltjes integral.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/riemann-stieltjes-integral.
BibTeX @misc{4ortxyz_riemann-stieltjes-integral_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Riemann–Stieltjes integral}}, year = {2026}, url = {https://4ort.xyz/entity/riemann-stieltjes-integral}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Riemann–Stieltjes integral — https://4ort.xyz/entity/riemann-stieltjes-integral (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 13d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Instance of
    Discoverer or inventor Thomas Joannes Stieltjes
    Subclass of Lebesgue–Stieltjes integration
    Maintained by wikiproject WikiProject Mathematics
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007555632605171, mv to monolingual text names on J9U statements"
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