Convex function: Revision history

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curprev 12:5112:51, 7 February 2025 132.76.82.162 talk 36,022 bytes −6 →Definition: second condition undo
curprev 12:5112:51, 7 February 2025 132.76.82.162 talk 36,028 bytes +41 →Definition: actually it was fine, I put it back undo
curprev 12:4812:48, 7 February 2025 132.76.82.162 talk 35,987 bytes −36 →Definition: amended the assumptions of the second condition -- if x_1=x_2, the condition always holds trivially (the main difference between the two conditions that needs to be emphasised is in t) undo

curprev 02:0002:00, 16 December 2024 Citation bot talk contribs 36,023 bytes +32 Added bibcode. | Use this bot. Report bugs. | Suggested by Dominic3203 | Linked from User:Mathbot/Most_linked_math_articles | #UCB_webform_linked 601/1913 undo

curprev 07:1107:11, 5 September 2024 Salskrake talk contribs m 35,991 bytes +6 The first sentence was incorrect, if the line segment had to be above the graph then f(x) = cx is not convex. I believe the previous author was in a hurry, this is a minor edit. Please search for ORF523_S16_Lec7_gh.pdf to see an introduction to the topic if this change feels strange. undo

curprev 00:0100:01, 2 June 2024 50.221.225.231 talk 35,968 bytes +251 →Functions of several variables: Add bullet point about marginally convex vs. jointly convex functions undo

curprev 15:0715:07, 27 March 2024 Zfeinst talk contribs m 35,721 bytes 0 →Properties: clarify which figure is referenced undo

curprev 10:0510:05, 20 February 2024 Zfeinst talk contribs 35,621 bytes +6 Undid revision 1207273350 by MohammadHoseinAkbari (talk) The 0 function is convex as well. Revert good faith edit undo Tag: Undo

curprev 11:2711:27, 14 February 2024 MohammadHoseinAkbari talk contribs 35,615 bytes −6 Improving content undo Tags: Reverted Mobile edit Mobile web edit

curprev 21:5521:55, 26 June 2023 Yoderj talk contribs 34,642 bytes +345 →Definition: Give simple example of a convex yet not strictly convex function. undo

curprev 08:5208:52, 24 May 2023 Goodphy talk contribs 34,295 bytes +214 In the page introduction section, mentioned that a linear function (e.g., f(x) = cx) is also a convex function according to a convex function definition. undo Tag: Visual edit

curprev 01:2501:25, 24 April 2023 216.171.25.44 talk 34,081 bytes −60 Incorrect application of Darboux's Theorem undo

curprev 09:5609:56, 22 March 2023 Mudthomas talk contribs 34,141 bytes +9 Clarified that the two points need to be distinct. undo Tags: Mobile edit Mobile web edit

curprev 22:0322:03, 22 February 2023 Zfeinst talk contribs 34,132 bytes −169 revert good faith edit, this is often the definition of a concave function undo Tag: Undo
curprev 19:5019:50, 22 February 2023 AnomieBOT talk contribs m 34,301 bytes +19 Dating maintenance tags: {{Citation needed}} undo Tag: Reverted
curprev 19:3019:30, 22 February 2023 Lemondoge talk contribs 34,282 bytes +150 →Operations that preserve convexity: [Any mathematicians out there, PLEASE verify this correction!] The statement "-f is concave IFF f is convex" is not universally true - x^3 and -x^3 are both concave - but for x > 0, x^3 is convex while -x^3 is concave, and vice versa for x < 0. If I am wrong here, please correct this and immediately whack me with a wet trout. undo Tag: Reverted

curprev 08:1508:15, 29 October 2022 Avner-Y talk contribs m 34,148 bytes +1 →Properties: add the letter ‘s’ at the end of the word variable first appearance. undo