ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS
Copyright policy ) Eun-Gu Lee; Jae-Young Chung;
ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS
We consider the Hyers-Ulam-Rassias stability problem 2u ◦ A 2 u ◦ P1 u ◦ P2 � "(j xj p + j yj p ); x;y 2 R n for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation � � 2f ( x + y 2 ) f(x) f(y) � � � "(j xj p + j yj p ); x;y 2 R n for the function f : R n ! C.
- Kunsan National University Korea (Republic of)
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