ON THE SUPERSTABILITY OF THE PEXIDER TYPE SINE FUNCTIONAL EQUATION

• 발행기관: 충청수학회
• 저자명: Gwang Hui Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 1, 1~18쪽, 전체 18쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.02.28

영문 초록

The aim of this paper is to investigate the superstabil-ity of the pexider type sine(hyperbolic sine) functional equation f(x + y)2 - (x + ¾y)2 2 2 = ¸g(x)h(y); ¸ : constant which is bounded by the unknown functions (x) or (y). As a consequence, we have generalized the stability results for the sine functional equation by P. M. Cholewa, R. Badora, R. Ger, and G. H. Kim.

목차

1. Introduction

2. Stability of the equation (gS¸gh)

3. Application to equations (gS¸gf ), (gS¸fh), (gS¸gg), and (fS¸).

4. Extension of the results to Banach space