The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 12 Issue 2 Serial No. 28
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- Pages.133-142
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- 2005
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATION IN THE SPACE OF SCHWARTZ TEMPERED DISTRIBUTIONS
Abstract
Generalizing the Cauchy-Rassias inequality in [Th. M. Rassias: On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc. 72 (1978), no. 2, 297-300.] we consider a stability problem of quadratic functional equation in the spaces of generalized functions such as the Schwartz tempered distributions and Sato hyperfunctions.