학술저널
ON THE SUPERSTABILITY OF THE PEXIDER TYPE SINE FUNCTIONAL EQUATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 1
-
2012.021 - 18 (18 pages)
- 2
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.
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
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