On a multiplace functional equation related to information measures and functions

Palaniappan Kannappan

Kybernetika (1983)

  • Volume: 19, Issue: 2, page 110-120
  • ISSN: 0023-5954

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Kannappan, Palaniappan. "On a multiplace functional equation related to information measures and functions." Kybernetika 19.2 (1983): 110-120. <http://eudml.org/doc/28136>.

@article{Kannappan1983,
author = {Kannappan, Palaniappan},
journal = {Kybernetika},
keywords = {measures of information; Shannon's entropy; inaccuracy; divergence; information functions; general solutions},
language = {eng},
number = {2},
pages = {110-120},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On a multiplace functional equation related to information measures and functions},
url = {http://eudml.org/doc/28136},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Kannappan, Palaniappan
TI - On a multiplace functional equation related to information measures and functions
JO - Kybernetika
PY - 1983
PB - Institute of Information Theory and Automation AS CR
VL - 19
IS - 2
SP - 110
EP - 120
LA - eng
KW - measures of information; Shannon's entropy; inaccuracy; divergence; information functions; general solutions
UR - http://eudml.org/doc/28136
ER -

References

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  1. J. Aczél, On a generalization of the functional equation of Pexider, Publ. Inst. Math. (Beograd) 4, (18) (1964), 77-80. (1964) MR0172020
  2. J. Aczél, Notes on generalized information functions, Aequationes Math. 22 (1981), 97-107. (1981) MR0623324
  3. J. Aczél, Information functions of degree (0, β ), Utilitas Math. 18 (1980), 15 - 26. (1980) MR0598784
  4. Z. Daróczy, Generalized information functions, Inform. and Control 16 (1970), 36-51. (1970) MR0272528
  5. PL. Kannappan, Notes on generalized information function, Tôhoku Math. J. 30 (1978), 251-255. (1978) MR0499181
  6. PL. Kannappan, P. N. Rathie, On a functional equation connected with Shannon's entropy, Funkcial. Ekvac. 14 (1971), 153 - 159. (1971) Zbl0237.39007MR0363674
  7. PL. Kannappan, P. N. Rathie, On generalized information function, Tohoku Math. J. 27 (1975), 207-212. (1975) Zbl0333.94008MR0397223
  8. M. Kuczma, Note on additive functions of several variables, Uniw. Ślaşki w Katowicach Prace Nauk. - Prace Mat. 21 (1972), 49-51. (1972) Zbl0247.39005MR0308636
  9. Gy. Maksa, C. T. Ng, The fundamental equation of information on open domains, (to appear in Publ. Math. Debrecen). MR0854610
  10. Gy. Maksa, Remark 25, Proc. of the 18lh International Symposium On Functional Equations, Univ. of Waterloo, 1980, 42-43. (1980) 
  11. Gy. Maksa, The general solution of a functional equation related to the mixed theory of information, (to appear in Aequationes Math.). Zbl0462.39003MR0623323

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