Homogeneous means and some functional equations

Janusz Jerzy Charatonik

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 391-398
  • ISSN: 0139-9918

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Charatonik, Janusz Jerzy. "Homogeneous means and some functional equations." Mathematica Slovaca 48.4 (1998): 391-398. <http://eudml.org/doc/32034>.

@article{Charatonik1998,
author = {Charatonik, Janusz Jerzy},
journal = {Mathematica Slovaca},
keywords = {closed interval; functional equation; homogeneous mean},
language = {eng},
number = {4},
pages = {391-398},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Homogeneous means and some functional equations},
url = {http://eudml.org/doc/32034},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Charatonik, Janusz Jerzy
TI - Homogeneous means and some functional equations
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 391
EP - 398
LA - eng
KW - closed interval; functional equation; homogeneous mean
UR - http://eudml.org/doc/32034
ER -

References

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  3. AUMANN G., Aufbau von Mittelwerten mehrerer Argumente II (Analytische Mittelwerte), Math. Ann. 111 (1935), 713-730. (1935) Zbl0012.25205MR1513023
  4. AUMANN G., Über Räume mit Mittelbildungen, Math. Ann. 119 (1943), 210-215. (1943) MR0012219
  5. BACON P., An acyclic continuum that admits no mean, Fund. Math. 67 (1970), 11-13. (1970) Zbl0192.60101MR0261555
  6. BAKER J. A.-WILDER B. E., Constructing means on certain continua and functional equations, Aequationes Math. 26 (1983), 89-103. (1983) Zbl0536.39005MR0733330
  7. CHARATONIK J. J., Inverse limit means and some functional equations, Rocky Mountain J. Math. 23 (1993), 41-48. (1993) Zbl0782.39005MR1212729
  8. ECKMANN B., Räume mit Mittelbildungen, Comment. Math. Helv. 28 (1954), 329-340. (1954) Zbl0056.16403MR0065920
  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. (1962) Zbl0114.39501MR0169239
  10. KUCZMA M., Functional Equations in a Single Variable, Monografie Matematyczne Vol. 46, PWN, Warszawa, 1968. (1968) Zbl0196.16403MR0228862
  11. SIGMON K., On the existence of a mean on certain continua, Fund. Math. 63 (1968), 311-319. (1968) Zbl0169.33401MR0236305
  12. WHYBURN G. T., Analytic Topology, Amer. Math. Soc. Colloq. Publ. 28, Amer. Math. Soc, Providence, RI, 1942 (Reprinted with corrections 1971). (1942) Zbl0061.39301MR0007095
  13. WILDER B. E., Inverse limit means are not preserved under homeomorphisms, Rocky Mountain J. Math. 19 (1989), 549-551. (1989) Zbl0702.39006MR1018837

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