학술저널
APPROXIMATE RING HOMOMORPHISMS OVER p-ADIC FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 3
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2006.091 - 17 (17 pages)
- 0
커버이미지 없음
In this paper, we prove the generalized Hyers–Ulam stability of ring homomorphisms over the p-adic field Q p associated with the Cauchy functional equation f (x+y) = f (x)+f (y) and the Cauchy–Jensen functional equation 2f ( x+y 2 + z) = f (x) + f (y) + 2f (z).
1. Introduction and preliminaries
2. Stability of ring homomorphisms over the p-adic field Q p
associated with the Cauchy functional equation
3. Stability of ring homomorphisms over the p-adic field Q p
associated with the Cauchy–Jensen functional equation
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