| Title:
|
Symmetric partially Darboux functions and multiple points mean value results (English) |
| Author:
|
Vîjîitu, Viorel |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
1 |
| Year:
|
2026 |
| Pages:
|
89-103 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider mean value results for symmetric multivariable functions whose partial functions satisfy the intermediate value property. (English) |
| Keyword:
|
Darboux function |
| Keyword:
|
symmetric function |
| Keyword:
|
mean value theorem |
| MSC:
|
26A15 |
| MSC:
|
26A24 |
| MSC:
|
26B99 |
| DOI:
|
10.21136/MB.2025.0089-24 |
| . |
| Date available:
|
2026-02-19T14:26:27Z |
| Last updated:
|
2026-02-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153388 |
| . |
| Reference:
|
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| Reference:
|
[2] Chen, Z.: A higher mean value theorem: 10935.Am. Math. Mon. 110 (2003), 544-545. 10.2307/3647923 |
| Reference:
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| Reference:
|
[4] Marinescu, D. Ş., Monea, M.: Some mean value theorems as consequences of the Darboux property.Math. Bohem. 142 (2017), 211-224. Zbl 1463.26006, MR 3660177, 10.21136/MB.2016.0032-15 |
| Reference:
|
[5] Mortini, R.: Problem 12487.Am. Math. Mon. 131 (2024), 723. 10.1080/00029890.2024.2376504 |
| Reference:
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[6] Pangsriiam, P.: Problem 11753.Am. Math. Mon. 121 (2014), 84. 10.4169/amer.math.monthly.121.01.083 |
| Reference:
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[7] Pompeiu, D.: Sur le théorème des accroissements finis.Ann. Sci. Univ. Jassy 3 (1906), 244-250 French. |
| Reference:
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| Reference:
|
[9] Pompeiu, D.: Sur une forme du théorème des accroissements finis.Bull. Sci. Acad. Roumaine 9 (1925), 61-64 French \99999JFM99999 50.0169.04. |
| Reference:
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[10] Pompeiu, D.: Sur une proposition analoque au théorème des accroissements finis.Mathematica, Timişoara 22 (1946), 143-146 French. Zbl 0060.14601, MR 0016427 |
| Reference:
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[11] Pompeiu, D.: Oeuvre mathématique.Editura Academiei Republicii Populare Romîne, Bucureşti (1959), Romanian. Zbl 0087.00101, MR 0106809 |
| Reference:
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[12] Precupanu, T.: Problem 5.119.Olimpiadele Naţionale de Matematic\v a pentru liceu 1954-2003 Editura Enciclopedică, Bucureşti (2004), 146 Romanian. |
| Reference:
|
[13] Vîjîitu, V.: Hyers-Ulam stability of mean value points.Monatsh. Math. 204 (2024), 625-640. Zbl 1543.39012, MR 4761448, 10.1007/s00605-024-01987-7 |
| . |
