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On a Functional Equation Containing an Indexed Family of Unknown Mappings

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Functional Equations in Mathematical Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 52))

Abstract

In this paper, without imposing any regularity conditions on the mappings under considerations, all possible general solutions of a functional equation have been obtained.

Mathematics Subject Classification(2000): Primary: 39B22, 39B52

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References

  1. Daróczy, Z., Losonczi, L.: Über die Erweiterung der auf einer Punktmenge additiven Funktionen. Publ. Math. Debrecen 14, 239–245 (1967)

    MathSciNet  MATH  Google Scholar 

  2. Havrda, J., Charvát, F.: Quantification method of classification process, concept of structural α-entropy. Kybernetika (Prague) 3, 30–35 (1967)

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  3. Losonczi, L: Functional equations of sum form. Publ. Math. Debrecen 32, 57–71 (1985)

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  4. Losonczi, L., Maksa, Gy.: On some functional equations of the information theory. Acta Math. Acad. Sci. Hungar. 39, 73–82 (1982)

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  5. Nath, P., Singh, D.K.: On a multiplicative type sum form functional equation and its role in information theory. Appl. Math. 51 (5), 495–516 (2006)

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  6. Nath, P., Singh, D.K.: A sum form functional equation and its relevance in information theory. Aust. J. Math. Anal. Appl. 5(1), Article 9, 1–18 (2008)

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Correspondence to Prem Nath .

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Nath, P., Singh, D.K. (2011). On a Functional Equation Containing an Indexed Family of Unknown Mappings. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_41

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