convex function

real function with secant line between points above the graph itself
Thing type_of_mathematical_function Q319913
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convex function

Summary

convex function is a type of mathematical function[1]. It draws 724 Wikipedia views per month (type_of_mathematical_function category, ranking #8 of 38).[2]

Key Facts

  • convex function's instance of is recorded as type of mathematical function[3].
  • convex function's Library of Congress authority ID is recorded as sh85031728[4].
  • convex function's Bibliothèque nationale de France ID is recorded as 12274506n[5].
  • convex function's subclass of is recorded as quasiconvex function[6].
  • convex function's subclass of is recorded as continuous function[7].
  • convex function's NDL Authority ID is recorded as 00573442[8].
  • convex function's part of is recorded as concave and convex functions[9].
  • convex function's opposite of is recorded as concave function[10].
  • convex function's BNCF Thesaurus ID is recorded as 19549[11].
  • convex function's Freebase ID is recorded as /m/01kjxx[12].
  • convex function's NL CR AUT ID is recorded as ph376363[13].
  • convex function's Gran Enciclopèdia Catalana ID is recorded as 0153282[14].
  • convex function's has characteristic is recorded as Jensen's inequality[15].
  • convex function's defining formula is recorded as \forall c, d \in (a, b), t \in [0, 1] : f((1 - t) c + t d) \le (1 - t) f(c) + t f(d)[16].
  • convex function's MathWorld ID is recorded as ConvexFunction[17].
  • convex function's Encyclopædia Universalis ID is recorded as convexite-fonctions-convexes[18].
  • convex function's Quora topic ID is recorded as Convex-Function[19].
  • convex function's nLab ID is recorded as convex function[20].
  • convex function's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • convex function's Microsoft Academic ID is recorded as 145446738[22].
  • convex function's in defining formula is recorded as f[23].
  • convex function's National Library of Israel J9U ID is recorded as 987007557820805171[24].
  • convex function's OpenAlex ID is recorded as C145446738[25].
  • convex function's Digital Library of Mathematical Functions ID is recorded as 1.4.E38[26].
  • convex function's Gran Enciclopèdia Catalana ID is recorded as funcio-convexa[27].

Why It Matters

convex function draws 724 Wikipedia views per month (type_of_mathematical_function category, ranking #8 of 38).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[28] It is known by 15 alternative names across languages and contexts.[29]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  3. [5] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . MathWorld. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Nuovo soggettario. wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . Quora. wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . National Library of Israel. wikidata.org.
  23. [25] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). convex function. Retrieved May 3, 2026, from https://4ort.xyz/entity/convex-function
MLA “convex function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/convex-function.
BibTeX @misc{4ortxyz_convex-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{convex function}}, year = {2026}, url = {https://4ort.xyz/entity/convex-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): convex function — https://4ort.xyz/entity/convex-function (retrieved 2026-05-03)

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