Some Functional Equations and Their Corresponding Sum Forms

Authors

  • Prem Nath Department of Mathematics, University of Delhi, Delhi, India
  • Dhiraj Kumar Singh Department of Mathematics, Zakir Husain Delhi College, University of Delhi, Delhi, India

DOI:

https://doi.org/10.5644/SJM.12.1.07

Keywords:

Functional equation, additive mapping, multiplicative mapping, logarithmic mapping

Abstract

The general solutions of some functional equations containing at least two unknown mappings have been obtained without imposing any regularity condition on any of the mappings.

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References

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P. Nath and D.K. Singh, A sum form functional equation related to various entropies in information theory, Glas. Mat., 43 (1) (2008), 159–178.

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P. Nath and D.K. Singh, On a sum form functional equation and its applications in information theory and statistics, Aequationes Math., 81(1-2) (2011), 77–95.

P. Nath and D.K. Singh, On a sum form functional equation containing three unknown mappings, Annales Univ. Paed. Crac. Studia Mathematica, 12 (2013), 69–81.

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Published

31.05.2024

How to Cite

Nath, P., & Singh, D. K. (2024). Some Functional Equations and Their Corresponding Sum Forms. Sarajevo Journal of Mathematics, 12(1), 89–106. https://doi.org/10.5644/SJM.12.1.07

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