ON A SUM FORM FUNCTIONAL EQUATION

Year 2016, Volume: 6 Issue: 2, 298 - 306, 01.12.2016

Prem Nath Dhiraj Kumar Singh

Abstract

The general solutions of a sum form functional equation containing two unknown mappings, without imposing any regularity condition on them, have been obtained.

Keywords

functional equation, additive mapping, multiplicative mapping, logarithmic mapping.

References

• Chaundy,T.W. and Mcleod,J.B., (1960), On a functional equation, Edinburgh Mathematical Notes, 43, pp. 7-8.
• Dar´oczy,Z. and Losonczi,L., (1967), ¨Uber die erweiterung der auf einer punktmenge additiven funk- tionen, Publicationes Mathematicae Debrecen, 14, pp. 239-245.
• Deepmala and Pathak,H.K., (2013), Study on existence of solutions for some nonlinear functional- integral equations with applications, Mathematical Communications, 18 (1), pp. 97-107.
• Deepmala and Pathak,H.K., (2013), A study on some problems on existence of solutions for nonlinear functional-integral equations, Acta Mathematica Scientia, 33B (5), pp. 1305-1313.
• Deepmala and Pathak,H.K., (2013), Some common fixed point theorems for D-operator pair with applications to nonlinear integral equations, Nonlinear Functional Analysis and Applications, 18 (2), pp. 205-218.
• Losonczi,L. and Maksa,Gy., (1982), On some functional equations of the information theory, Acta Mathematica Academiae Scientiarum Hungaricae, 39, pp. 73-82.
• Nath,P. and Singh,D.K., (2009), On a sum form functional equation related to entropies and some moments of a discrete random variable, Demonstratio Mathematica, 42 (1), pp. 83-96.