Title:
|
On a multiplace functional equation related to information measures and functions (English) |
Author:
|
Kannappan, PL. |
Language:
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English |
Journal:
|
Kybernetika |
ISSN:
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0023-5954 |
Volume:
|
19 |
Issue:
|
2 |
Year:
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1983 |
Pages:
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110-120 |
. |
Category:
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math |
. |
MSC:
|
39B40 |
MSC:
|
39B99 |
MSC:
|
94A15 |
MSC:
|
94A17 |
idZBL:
|
Zbl 0507.39003 |
idMR:
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MR712830 |
. |
Date available:
|
2009-09-24T17:33:08Z |
Last updated:
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2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124981 |
. |
Reference:
|
[1] J. Aczél: On a generalization of the functional equation of Pexider.Publ. Inst. Math. (Beograd) 4, (18) (1964), 77-80. MR 0172020 |
Reference:
|
[2] J. Aczél: Notes on generalized information functions.Aequationes Math. 22 (1981), 97-107. MR 0623324 |
Reference:
|
[3] J. Aczél: Information functions of degree (0, $\beta$).Utilitas Math. 18 (1980), 15 - 26. MR 0598784 |
Reference:
|
[4] Z. Daróczy: Generalized information functions.Inform. and Control 16 (1970), 36-51. MR 0272528 |
Reference:
|
[5] PL. Kannappan: Notes on generalized information function.Tôhoku Math. J. 30 (1978), 251-255. MR 0499181 |
Reference:
|
[6] PL. Kannappan, P. N. Rathie: On a functional equation connected with Shannon's entropy.Funkcial. Ekvac. 14 (1971), 153 - 159. Zbl 0237.39007, MR 0363674 |
Reference:
|
[7] PL. Kannappan, P. N. Rathie: On generalized information function.Tohoku Math. J. 27 (1975), 207-212. Zbl 0333.94008, MR 0397223 |
Reference:
|
[8] M. Kuczma: Note on additive functions of several variables.Uniw. Ślaşki w Katowicach Prace Nauk. - Prace Mat. 21 (1972), 49-51. Zbl 0247.39005, MR 0308636 |
Reference:
|
[9] Gy. Maksa, C. T. Ng: The fundamental equation of information on open domains.(to appear in Publ. Math. Debrecen). MR 0854610 |
Reference:
|
[10] Gy. Maksa: Remark 25.Proc. of the 18lh International Symposium On Functional Equations, Univ. of Waterloo, 1980, 42-43. |
Reference:
|
[11] Gy. Maksa: The general solution of a functional equation related to the mixed theory of information.(to appear in Aequationes Math.). Zbl 0462.39003, MR 0623323 |
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