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Title: On a functional equation connected to sum form nonadditive information measures on an open domain. I. (English)
Author: Kannappan, PL.
Author: Sahoo, P. K.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 22
Issue: 3
Year: 1986
Pages: 268-275
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Category: math
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MSC: 39B20
MSC: 39B62
MSC: 39B99
MSC: 94A17
idZBL: Zbl 0609.39005
idMR: MR852326
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Date available: 2009-09-24T17:53:52Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125473
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Reference: [1] J. Aczél: Information functions on open domain III.C. R. Math. Rep. Acad. Sci. Canada 2 (1980), 281-285. MR 0600562
Reference: [2] M. Behara, P. Nath: Additive and nonadditive entropy of finite measurable partitions.Probability and Information Theory, Vol. 2, Springer-Verlag 1973, Vol. 296, 102-138. MR 0379019
Reference: [3] J. Havrda, F. Charvát: Quantification method of classification process, Concept of structural a-entropy.Kybernetika 3 (1967), 30-35. MR 0209067
Reference: [4] Pl. Kannappan: On generalization of some measures in Information Theory.Glasnik Mat. 29 (1974), 81-93. MR 0363671
Reference: [5] Pl. Kannappan: On some functional equations from additive and nonadditive measure - I.Proc. Edinburgh Math. Soc. 23 (1980), 145-150. MR 0597119
Reference: [6] Pl. Kannappan, P. K. Sahoo: On a functional equation in two variables connected to sum form information measures on an open domain.(to appear). Zbl 0629.39006, MR 0852131
Reference: [7] L. Losonczi: A characterization of entropies of degree a.Metrika 28 (1981), 237-244. MR 0642931
Reference: [8] L. Losonczi, Gy. Maksa: On some functional equations of the information theory.Acta. Math. Acad. Sci. Hungar. 39 (1982), 73-82. Zbl 0492.39006, MR 0653676
Reference: [9] C. T. Ng: Information functions on open domains I, II.C. R. Math. Rep. Acad. Sci. Canada 2 (1980), 119-123 and 155-158. MR 0576988
Reference: [10] P. K. Sahoo: On some functional equations connected to sum form information measures on open domains.Utilitas Math. 23 (1983), 161-175. Zbl 0524.94008, MR 0703137
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