STABILITY OF THE RECIPROCAL DIFFERENCE AND ADJOINT FUNCTIONAL EQUATIONS IN m¡VARIABLES

• 발행기관: 충청수학회
• 저자명: Young Whan Lee Gwang Hui Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 731~739쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

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.

목차

1. Introduction

2. Stability

References