| Title:
|
Homogeneous means and some functional equations (English) |
| Author:
|
Charatonik, Janusz J. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
391-398 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26B35 |
| MSC:
|
39B22 |
| idZBL:
|
Zbl 0963.39027 |
| idMR:
|
MR1693509 |
| . |
| Date available:
|
2009-09-25T11:32:09Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130586 |
| . |
| Reference:
|
[1] ACZÉL J.: Lectures on Functional Equations and Their Applications.Academic Press, New York, 1966. Zbl 0139.09301, MR 0208210 |
| Reference:
|
[2] AUMANN G.: Aufbau von Mittelwerten mehrerer Argumente I.Math. Ann. 109 (1933), 235-253. Zbl 0008.05601, MR 1512890 |
| Reference:
|
[3] AUMANN G.: Aufbau von Mittelwerten mehrerer Argumente II (Analytische Mittelwerte).Math. Ann. 111 (1935), 713-730. Zbl 0012.25205, MR 1513023 |
| Reference:
|
[4] AUMANN G.: Über Räume mit Mittelbildungen.Math. Ann. 119 (1943), 210-215. MR 0012219 |
| Reference:
|
[5] BACON P.: An acyclic continuum that admits no mean.Fund. Math. 67 (1970), 11-13. Zbl 0192.60101, MR 0261555 |
| Reference:
|
[6] BAKER J. A.-WILDER B. E.: Constructing means on certain continua and functional equations.Aequationes Math. 26 (1983), 89-103. Zbl 0536.39005, MR 0733330 |
| Reference:
|
[7] CHARATONIK J. J.: Inverse limit means and some functional equations.Rocky Mountain J. Math. 23 (1993), 41-48. Zbl 0782.39005, MR 1212729 |
| Reference:
|
[8] ECKMANN B.: Räume mit Mittelbildungen.Comment. Math. Helv. 28 (1954), 329-340. Zbl 0056.16403, MR 0065920 |
| Reference:
|
[9] ECKMANN B.-GANEA T.-HILTON P. J.: Generalized means.In: Studies in Mathematical Analysis and Related Topics, Stanford University Press, Stanford, Calif., 1962, pp. 82-92. Zbl 0114.39501, MR 0169239 |
| Reference:
|
[10] KUCZMA M.: Functional Equations in a Single Variable.Monografie Matematyczne Vol. 46, PWN, Warszawa, 1968. Zbl 0196.16403, MR 0228862 |
| Reference:
|
[11] SIGMON K.: On the existence of a mean on certain continua.Fund. Math. 63 (1968), 311-319. Zbl 0169.33401, MR 0236305 |
| Reference:
|
[12] WHYBURN G. T.: Analytic Topology.Amer. Math. Soc. Colloq. Publ. 28, Amer. Math. Soc, Providence, RI, 1942 (Reprinted with corrections 1971). Zbl 0061.39301, MR 0007095 |
| Reference:
|
[13] WILDER B. E.: Inverse limit means are not preserved under homeomorphisms.Rocky Mountain J. Math. 19 (1989), 549-551. Zbl 0702.39006, MR 1018837 |
| . |
