학술저널
STABILITY OF THE RECIPROCAL DIFFERENCE AND ADJOINT FUNCTIONAL EQUATIONS IN m¡VARIABLES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 4
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2010.12731 - 739 (9 pages)
- 2
In this paper, we prove stability of the reciprocal dif-ference functional equation rµPmi=1 xim¶¡ rÃXmi=1xi!=(m ¡ 1)Qm i=1 r(xi) Pmi=1Qk6=i;1·k·m r(xk) and the reciprocal adjoint functional equation rµPmi=1 xim¶+ rÃXmi=1xi!=(m + 1)Qmi=1 r(xi) Pmi=1Qk6=i;1·k·m r(xk)in m-variables. Stability of the reciprocal di？？erence functional equation and the reciprocal adjoint functional equation in two vari-ables were proved by K. Ravi, J. M. Rassias and B. V. Senthil Kumar [13]. We extend their result to m-variables in similar types.
1. Introduction
2. Stability
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